Trigonometry Examples

$\tan (20) = \frac{a - 85}{b}$

Step 1

Multiply both sides by $b$ .

$\tan (20) b = \frac{a - 85}{b} b$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Evaluate $\tan (20)$ .

$0.36397023 b = \frac{a - 85}{b} b$

$0.36397023 b = \frac{a - 85}{b} b$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $b$ .

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Step 2.2.1.1

Cancel the common factor.

$0.36397023 b = \frac{a - 85}{b} b$

Step 2.2.1.2

Rewrite the expression.

$0.36397023 b = a - 85$

$0.36397023 b = a - 85$

$0.36397023 b = a - 85$

$0.36397023 b = a - 85$

Step 3

Solve for $a$ .

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Step 3.1

Rewrite the equation as $a - 85 = 0.36397023 b$ .

$a - 85 = 0.36397023 b$

Step 3.2

Add $85$ to both sides of the equation.

$a = 0.36397023 b + 85$

$a = 0.36397023 b + 85$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$