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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