Trigonometry Examples

$\arccos (x) = \arcsin (\frac{7}{25})$

Step 1

Subtract $\arcsin (\frac{7}{25})$ from both sides of the equation.

$\arccos (x) - \arcsin (\frac{7}{25}) = 0$

Step 2

Simplify each term.

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Step 2.1

Evaluate $\arcsin (\frac{7}{25})$ .

$\arccos (x) - 1 \cdot 0.2837941 = 0$

Step 2.2

Multiply $- 1$ by $0.2837941$ .

$\arccos (x) - 0.2837941 = 0$

Step 3

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

$x < - 1$

Step 4

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

$x > 1$

Step 5

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 6