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Chapter 7: Q. 83 (page 486)

Find the exact value of each expression.
$\tan (\sin^{- 1} \frac{4}{5} + \cos^{- 1} 1)$

Short Answer

Expert verified

The value of the expression is $\frac{4}{3}$

Step by step solution

01

Step 1. Given information

The given expression is $\tan (\sin^{- 1} \frac{4}{5} + \cos^{- 1} 1)$

02

Step 2. Solve the expression

$\tan (\sin^{- 1} \frac{4}{5} + \cos^{- 1} 1) = \tan (53 ° + 0 °) = \frac{4}{3}$

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Most popular questions from this chapter

Show that $\sin (\sin^{- 1} (v) + \cos^{- 1} (v)) = 1$

Use the fact that

$\cos \frac{π}{12} = \frac{1}{4} (\sqrt{6} + \sqrt{2})$

to find $\sin \frac{π}{24}, \cos \frac{π}{24}$ .

Show that $\cos \frac{π}{8} = \frac{\sqrt{2 + \sqrt{2}}}{2}$ and use it to find $\sin \frac{π}{16}, \cos \frac{π}{16}$ .

If $x = 2 \tan θ$ , express $\sin (2 θ)$ as a function ofx.

Repeat Problem $107$ for $g (x) = \cos^{2} x$ .

See all solutions

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