Evaluate: `sin^-1 [cos(sin^-1 sqrt(3)/2)]`

`sin^-1 [cos(sin^-1 sqrt(3)/2)] = sin^-1[cos (pi/3)]` = `sin^-1 [1/2]` = `pi/6`.

Evaluate: sin-1[cos(sin-132)] - Mathematics

Question

Evaluate: $\sin^{- 1} [\cos (\frac{\sin^{- 1} \sqrt{3}}{2})]$

Sum

Solution

$\sin^{- 1} [\cos (\frac{\sin^{- 1} \sqrt{3}}{2})] = \sin^{- 1} [\cos (\frac{π}{3})]$

= $\sin^{- 1} [\frac{1}{2}]$

= $\frac{π}{6}$ .

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Properties of Inverse Trigonometric Functions

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Chapter 2: Inverse Trigonometric Functions - Solved Examples [Page 22]

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Chapter 2 Inverse Trigonometric Functions
Solved Examples | Q 7 | Page 22

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Evaluate: sin-1[cos(sin-132)] - Mathematics

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