Trigonometry Examples

$\arcsin (\frac{3}{5}) + \arccos (x) = \frac{π}{4}$

Step 1

Simplify the left side.

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Step 1.1

Evaluate $\arcsin (\frac{3}{5})$ .

$0.6435011 + \arccos (x) = \frac{π}{4}$

Step 2

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

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Step 2.1

Subtract $0.6435011$ from both sides of the equation.

$\arccos (x) = \frac{π}{4} - 0.6435011$

Step 2.2

Subtract $0.6435011$ from $\frac{π}{4}$ .

$\arccos (x) = 0.14189705$

Step 3

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

$x = \cos (0.14189705)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \cos (0.14189705)$

Decimal Form:

$x = 0.98994949 \dots$