3.Trigonometrical Ratios, Functions and Identities
easy

જો $x\sin 45^\circ {\cos ^2}60^\circ = \frac{{{{\tan }^2}60^\circ {\rm{cosec}}30^\circ }}{{\sec 45^\circ {{\cot }^2}30^\circ }},$ તો $x = $

A

$2$

B

$4$

C

$8$

D

$16$

Solution

(c) $x.\frac{1}{{\sqrt 2 }}.\frac{1}{4} = \frac{{3.2}}{{\sqrt 2 .3}}$

$\Rightarrow \frac{x}{{4\sqrt 2 }} = \sqrt 2 $

$\Rightarrow x = 8$.

Standard 11
Mathematics

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