How do you evaluate ${sin}^{- 1} (sin (\frac{4 π}{3}))$ $sin^-1(sin((4pi)/3))$ without a calculator?

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How do you evaluate ${sin}^{- 1} (sin (\frac{4 π}{3}))$ $sin^-1(sin((4pi)/3))$ without a calculator?

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Answer 1 · 2016-09-29T05:29:18

$\frac{4 π}{3}$ $(4pi)/3$

Explanation:

Applying a function and then its inverse will negate the function all together (with appropriate assumptions), so applying the sin of an angle and then taking the arcsin of that will return the angle with which you started.

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How do you evaluate ${sin}^{- 1} (sin (\frac{4 π}{3}))$ $sin^-1(sin((4pi)/3))$ without a calculator?

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Explanation:

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How do you evaluate sin^-1(sin((4pi)/3))sin−1(sin(4π3))sin^-1(sin((4pi)/3)) without a calculator?

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How do you evaluate ${sin}^{- 1} (sin (\frac{4 π}{3}))$ $sin^-1(sin((4pi)/3))$ without a calculator?