(i) If 0 ≤ x ≤ π and x lies in the IInd quadrant such that sin x= – InterviewSolution

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1.	(i) If 0 ≤ x ≤ π and x lies in the IInd quadrant such that sin x=14. Find the values of cosx2, sinx2 and tanx2(ii) If cos x=45 and x is acute, find tan 2x(iii) If sin x=45 and 0<x<π2, find the value of sin 4x.
Answer» (i) If 0 ≤ x ≤ π and x lies in the IInd quadrant such that $\sin x = \frac{1}{4}$ . Find the values of $\cos \frac{x}{2}, \sin \frac{x}{2} and \tan \frac{x}{2}$ (ii) If $\cos x = \frac{4}{5}$ and x is acute, find tan 2x (iii) If $\sin x = \frac{4}{5}$ and $0 < x < \frac{π}{2}$ , find the value of sin 4x.

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