Let , , and . Select the correct value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Let x=sin⁡45∘x=\sin45^\circ, y=cos⁡60∘y=\cos60^\circ, and z=tan⁡30∘z=\tan30^\circ. Select the correct value of (xy+1z)2\left(\frac{x}{y}+\frac{1}{z}\right)^2. (1) 56+23\frac{5}{6}+\sqrt{\frac{2}{3}} (2) 56−23\frac{5}{6}-\sqrt{\frac{2}{3}} (3) 5+265+2\sqrt6 (4) 5−265-2\sqrt6

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