Precalculus Examples

$y = 0.2 \sin (1.047 x - 0.524 t)$ , $y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1

Solve the equation for $x$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $0.2 \sin (1.047 x - 0.524 t) = y$ .

$0.2 \sin (1.047 x - 0.524 t) = y$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2

Divide each term in $0.2 \sin (1.047 x - 0.524 t) = y$ by $0.2$ and simplify.

Tap for more steps...

Step 1.2.1

Divide each term in $0.2 \sin (1.047 x - 0.524 t) = y$ by $0.2$ .

$\frac{0.2 \sin (1.047 x - 0.524 t)}{0.2} = \frac{y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $0.2$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

$\frac{0.2 \sin (1.047 x - 0.524 t)}{0.2} = \frac{y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.2.1.2

Divide $\sin (1.047 x - 0.524 t)$ by $1$ .

$\sin (1.047 x - 0.524 t) = \frac{y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$\sin (1.047 x - 0.524 t) = \frac{y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$\sin (1.047 x - 0.524 t) = \frac{y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.1

Multiply by $1$ .

$\sin (1.047 x - 0.524 t) = \frac{1 y}{0.2}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.3.2

Factor $0.2$ out of $0.2$ .

$\sin (1.047 x - 0.524 t) = \frac{1 y}{0.2 (1)}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.3.3

Separate fractions.

$\sin (1.047 x - 0.524 t) = \frac{1}{0.2} \cdot \frac{y}{1}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.3.4

Divide $1$ by $0.2$ .

$\sin (1.047 x - 0.524 t) = 5 (\frac{y}{1})$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.2.3.5

Divide $y$ by $1$ .

$\sin (1.047 x - 0.524 t) = 5 y$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$\sin (1.047 x - 0.524 t) = 5 y$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$\sin (1.047 x - 0.524 t) = 5 y$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.3

Take the inverse sine of both sides of the equation to extract $x$ from inside the sine.

$1.047 x - 0.524 t = \arcsin (5 y)$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.4

Add $0.524 t$ to both sides of the equation.

$1.047 x = \arcsin (5 y) + 0.524 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5

Divide each term in $1.047 x = \arcsin (5 y) + 0.524 t$ by $1.047$ and simplify.

Tap for more steps...

Step 1.5.1

Divide each term in $1.047 x = \arcsin (5 y) + 0.524 t$ by $1.047$ .

$\frac{1.047 x}{1.047} = \frac{\arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.2

Simplify the left side.

Tap for more steps...

Step 1.5.2.1

Cancel the common factor of $1.047$ .

Tap for more steps...

Step 1.5.2.1.1

Cancel the common factor.

$\frac{1.047 x}{1.047} = \frac{\arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.2.1.2

Divide $x$ by $1$ .

$x = \frac{\arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = \frac{\arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = \frac{\arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3

Simplify the right side.

Tap for more steps...

Step 1.5.3.1

Simplify each term.

Tap for more steps...

Step 1.5.3.1.1

Multiply by $1$ .

$x = \frac{1 \arcsin (5 y)}{1.047} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.2

Factor $1.047$ out of $1.047$ .

$x = \frac{1 \arcsin (5 y)}{1.047 (1)} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.3

Separate fractions.

$x = \frac{1}{1.047} \cdot \frac{\arcsin (5 y)}{1} + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.4

Divide $1$ by $1.047$ .

$x = 0.95510983 (\frac{\arcsin (5 y)}{1}) + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.5

Divide $\arcsin (5 y)$ by $1$ .

$x = 0.95510983 \arcsin (5 y) + \frac{0.524 t}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.6

Factor $0.524$ out of $0.524 t$ .

$x = 0.95510983 \arcsin (5 y) + \frac{0.524 (t)}{1.047}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.7

Factor $1.047$ out of $1.047$ .

$x = 0.95510983 \arcsin (5 y) + \frac{0.524 (t)}{1.047 (1)}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.8

Separate fractions.

$x = 0.95510983 \arcsin (5 y) + \frac{0.524}{1.047} \cdot \frac{t}{1}$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.9

Divide $0.524$ by $1.047$ .

$x = 0.95510983 \arcsin (5 y) + 0.50047755 (\frac{t}{1})$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 1.5.3.1.10

Divide $t$ by $1$ .

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$y = 0.2 \sin (1.047 x + 0.524 t)$

Step 2

Solve the equation for $t$ .

Tap for more steps...

Step 2.1

Rewrite the equation as $0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = y$ .

$0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2

Divide each term in $0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = y$ by $0.2$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = y$ by $0.2$ .

$\frac{0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t)}{0.2} = \frac{y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $0.2$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{0.2 \sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t)}{0.2} = \frac{y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.2.1.2

Divide $\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t)$ by $1$ .

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Multiply by $1$ .

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{1 y}{0.2}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.3.2

Factor $0.2$ out of $0.2$ .

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{1 y}{0.2 (1)}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.3.3

Separate fractions.

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = \frac{1}{0.2} \cdot \frac{y}{1}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.3.4

Divide $1$ by $0.2$ .

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = 5 (\frac{y}{1})$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.2.3.5

Divide $y$ by $1$ .

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\sin (1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.3

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.4

Simplify the left side.

Tap for more steps...

Step 2.4.1

Simplify $1.047 (0.95510983 \arcsin (5 y) + 0.50047755 t) + 0.524 t$ .

Tap for more steps...

Step 2.4.1.1

Simplify each term.

Tap for more steps...

Step 2.4.1.1.1

Apply the distributive property.

$1.047 (0.95510983 \arcsin (5 y)) + 1.047 (0.50047755 t) + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.4.1.1.2

Multiply $1.047 (0.95510983 \arcsin (5 y))$ .

Tap for more steps...

Step 2.4.1.1.2.1

Multiply $0.95510983$ by $1.047$ .

$1 \arcsin (5 y) + 1.047 (0.50047755 t) + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.4.1.1.2.2

Multiply $\arcsin (5 y)$ by $1$ .

$\arcsin (5 y) + 1.047 (0.50047755 t) + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\arcsin (5 y) + 1.047 (0.50047755 t) + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.4.1.1.3

Multiply $0.50047755$ by $1.047$ .

$\arcsin (5 y) + 0.524 t + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\arcsin (5 y) + 0.524 t + 0.524 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.4.1.2

Add $0.524 t$ and $0.524 t$ .

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.5

Subtract $1.048 t$ from both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) - 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.6

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) - 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.7

Rewrite the equation as $\sin (\arcsin (5 y) - 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) - 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.8

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) - 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.9

Add $1.048 t$ to both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) + 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.10

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) + 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.11

Rewrite the equation as $\sin (\arcsin (5 y) + 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) + 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.12

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.13

Subtract $1.048 t$ from both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) - 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.14

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) - 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.15

Rewrite the equation as $\sin (\arcsin (5 y) - 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) - 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.16

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) - 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.17

Add $1.048 t$ to both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) + 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.18

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) + 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.19

Rewrite the equation as $\sin (\arcsin (5 y) + 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) + 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.20

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.21

Subtract $1.048 t$ from both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) - 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.22

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) - 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.23

Rewrite the equation as $\sin (\arcsin (5 y) - 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) - 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.24

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) - 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.25

Add $1.048 t$ to both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) + 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.26

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) + 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.27

Rewrite the equation as $\sin (\arcsin (5 y) + 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) + 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.28

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.29

Subtract $1.048 t$ from both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) - 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.30

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) - 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.31

Rewrite the equation as $\sin (\arcsin (5 y) - 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) - 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.32

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) - 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.33

Add $1.048 t$ to both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) + 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.34

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) + 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.35

Rewrite the equation as $\sin (\arcsin (5 y) + 1.048 t) = 5 y$ .

$\sin (\arcsin (5 y) + 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.36

Take the inverse sine of both sides of the equation to extract $\arcsin (5 y)$ from inside the sine.

$\arcsin (5 y) + 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.37

Subtract $1.048 t$ from both sides of the equation.

$\arcsin (5 y) = \arcsin (5 y) - 1.048 t$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.38

Take the inverse arcsine of both sides of the equation to extract $t$ from inside the arcsine.

$5 y = \sin (\arcsin (5 y) - 1.048 t)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.39

Since $t$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$\sin (\arcsin (5 y) - 1.048 t) = 5 y$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.40

Take the inverse sine of both sides of the equation to extract $t$ from inside the sine.

$\arcsin (5 y) - 1.048 t = \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.41

Move all terms not containing $t$ to the right side of the equation.

Tap for more steps...

Step 2.41.1

Subtract $\arcsin (5 y)$ from both sides of the equation.

$- 1.048 t = \arcsin (5 y) - \arcsin (5 y)$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.41.2

Subtract $\arcsin (5 y)$ from $\arcsin (5 y)$ .

$- 1.048 t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$- 1.048 t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.42

Divide each term in $- 1.048 t = 0$ by $- 1.048$ and simplify.

Tap for more steps...

Step 2.42.1

Divide each term in $- 1.048 t = 0$ by $- 1.048$ .

$\frac{- 1.048 t}{- 1.048} = \frac{0}{- 1.048}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.42.2

Simplify the left side.

Tap for more steps...

Step 2.42.2.1

Cancel the common factor of $- 1.048$ .

Tap for more steps...

Step 2.42.2.1.1

Cancel the common factor.

$\frac{- 1.048 t}{- 1.048} = \frac{0}{- 1.048}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.42.2.1.2

Divide $t$ by $1$ .

$t = \frac{0}{- 1.048}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$t = \frac{0}{- 1.048}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$t = \frac{0}{- 1.048}$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 2.42.3

Simplify the right side.

Tap for more steps...

Step 2.42.3.1

Divide $0$ by $- 1.048$ .

$t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

$t = 0$

$x = 0.95510983 \arcsin (5 y) + 0.50047755 t$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify $0.95510983 \arcsin (5 y) + 0.50047755 (0)$ .

Tap for more steps...

Step 3.1.1

Multiply $0.50047755$ by $0$ .

$x = 0.95510983 \arcsin (5 y) + 0$

$t = 0$

Step 3.1.2

Add $0.95510983 \arcsin (5 y)$ and $0$ .

$x = 0.95510983 \arcsin (5 y)$

$t = 0$

$x = 0.95510983 \arcsin (5 y)$

$t = 0$

$x = 0.95510983 \arcsin (5 y)$

$t = 0$