Chapter 7: Q. 84 (page 496)

In Problems 79-90, find the exact value of each expression.
$\tan (2 \tan^{- 1} \frac{3}{4})$

Short Answer

Expert verified

The exact value is $\frac{24}{7}$

Step by step solution

Given information

Given expression $\tan (2 \tan^{- 1} \frac{3}{4})$

Use the inverse rule and double angle rule and calculate

Here, $\tan (\tan^{- 1} x) = x$

$\tan (2 \tan^{- 1} \frac{3}{4}) = a \tan^{- 1} (\frac{3}{4}) = θ a = \tan (2 \tan^{- 1} \frac{3}{4}) a = \frac{2 \tan (\tan^{- 1} \frac{3}{4})}{1 - \tan^{2} (\tan^{- 1} \frac{3}{4})} a = \frac{2 (\frac{3}{4})}{1 - {(\frac{3}{4})}^{2}} a = \frac{24}{7}$

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In Problems 79-90, find the exact value of each expression.
$\tan (2 \tan^{- 1} \frac{3}{4})$

Short Answer

Step by step solution

Given information

Use the inverse rule and double angle rule and calculate

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In Problems 79-90, find the exact value of each expression.tan2tan-134

Short Answer

Step by step solution

Given information

Use the inverse rule and double angle rule and calculate

One App. One Place for Learning.

Most popular questions from this chapter

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In Problems 79-90, find the exact value of each expression.
$\tan (2 \tan^{- 1} \frac{3}{4})$