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MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Let

f(x) = e^{\cos^{-1} \sin(x + \pi/3)}

then (1)

f\left(\frac{8\pi}{9}\right) = e^{5\pi/18}

(2)

f\left(\frac{8\pi}{9}\right) = e^{13\pi/18}

(3)

f\left(-\frac{7\pi}{4}\right) = e^{\pi/12}

(4)

f\left(-\frac{7\pi}{4}\right) = e^{11\pi/12}

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