Precalculus Examples

$b = \frac{(\tan (77 °)) (1.6)}{(1 + \frac{\tan (77 °)}{\tan (65 °)})}$

Step 1

Multiply $\tan (77 °)$ by $1.6$ .

$b = \frac{\tan (77 °) (1.6)}{1 + \frac{\tan (77 °)}{\tan (65 °)}}$

Step 2

Multiply $\tan (77 °)$ by $1.6$ .

$b = \frac{\tan (77 °) \cdot 1.6}{1 + \frac{\tan (77 °)}{\tan (65 °)}}$

Step 3

Simplify $\frac{\tan (77 °) \cdot 1.6}{1 + \frac{\tan (77 °)}{\tan (65 °)}}$ .

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Step 3.1

Evaluate $\tan (77 °)$ .

$b = \frac{\tan (77 °) \cdot 1.6}{1 + \frac{4.33147587}{\tan (65 °)}}$

Step 3.2

Evaluate $\tan (65 °)$ .

$b = \frac{\tan (77 °) \cdot 1.6}{1 + \frac{4.33147587}{2.14450692}}$

Step 3.3

Multiply $\tan (77 °)$ by $1.6$ .

$b = \frac{6.93036139}{1 + \frac{4.33147587}{2.14450692}}$

Step 3.4

Simplify the denominator.

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Step 3.4.1

Write $1$ as a fraction with a common denominator.

$b = \frac{6.93036139}{\frac{2.14450692}{2.14450692} + \frac{4.33147587}{2.14450692}}$

Step 3.4.2

Combine the numerators over the common denominator.

$b = \frac{6.93036139}{\frac{2.14450692 + 4.33147587}{2.14450692}}$

Step 3.4.3

Rewrite $\frac{2.14450692 + 4.33147587}{2.14450692}$ in a factored form.

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Step 3.4.3.1

Add $2.14450692$ and $4.33147587$ .

$b = \frac{6.93036139}{\frac{6.47598279}{2.14450692}}$

Step 3.4.3.2

Divide $6.47598279$ by $2.14450692$ .

$b = \frac{6.93036139}{3.01980037}$

Step 3.5

Divide $6.93036139$ by $3.01980037$ .

$b = 2.29497335$