Trigonometry Examples

$20 \arcsin (x) = 5 π$

Step 1

Subtract $5 π$ from both sides of the equation.

$20 \arcsin (x) - 5 π = 0$

Step 2

Set the argument in $\arcsin (x)$ less than $- 1$ to find where the expression is undefined.

$x < - 1$

Step 3

Set the argument in $\arcsin (x)$ greater than $1$ to find where the expression is undefined.

$x > 1$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x < - 1, x > 1$

$(- \infty, - 1) \cup (1, \infty)$

Step 5