Chapter 7: Q. 84 (page 505)

Find the exact solution of the equation.
$- 3 \sin^{- 1} x = π$

Short Answer

Expert verified

The exact solution of the equation is $\{- \frac{\sqrt{3}}{2}\}$ .

Step by step solution

Step 1. Given information.

Consider the given question,

$- 3 \sin^{- 1} x = π$

Divide both sides by $- 3$ ,

$\frac{- 3 \sin^{- 1} x}{- 3} = \frac{π}{- 3} \sin^{- 1} x = - \frac{π}{3}$

As $y = \sin^{- 1} x$ means $x = \sin y$ , where,

$- \frac{π}{2} \leq θ \leq \frac{π}{2}$

Step 2. Rewrite the equation.

On rewriting the equation, we get,

$x = \sin (- \frac{π}{3}) x = - \sin (\frac{π}{3}) x = - \frac{\sqrt{3}}{2}$

Therefore, the solution set isrole="math" localid="1646497501412" $\{- \frac{\sqrt{3}}{2}\}$ .

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Find the exact solution of the equation.
$- 3 \sin^{- 1} x = π$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Rewrite the equation.

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Find the exact solution of the equation.-3sin-1x=π

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Rewrite the equation.

One App. One Place for Learning.

Most popular questions from this chapter

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Find the exact solution of the equation.
$- 3 \sin^{- 1} x = π$