Trigonometry Examples

$\arcsin (\frac{20}{29}) + \arccos (x) = \frac{π}{4}$

Step 1

Simplify the left side.

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Step 1.1

Evaluate $\arcsin (\frac{20}{29})$ .

$0.76101275 + \arccos (x) = \frac{π}{4}$

Step 2

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

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Step 2.1

Subtract $0.76101275$ from both sides of the equation.

$\arccos (x) = \frac{π}{4} - 0.76101275$

Step 2.2

Subtract $0.76101275$ from $\frac{π}{4}$ .

$\arccos (x) = 0.0243854$

Step 3

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

$x = \cos (0.0243854)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \cos (0.0243854)$

Decimal Form:

$x = 0.99970269 \dots$