SSC CGL Tier II 12 Apr 2015 Paper

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Question : 44 of 100

Marks: +1, -0

If

x \cos ^{2} 30°. \sin 60°=

{\tan ^{2} 45°. \sec 60°}/{\cosec 60°}

value of

x

is

$1/√3$
$1/√2$
$2 2/3$
$1/2$

Solution:

(3)

x \cos ^{2} 30°. \sin 60°=

{\tan ^{2} 45°. \sec 60°}/{\cosec 60°}

⇒ x .( {√{3}}/{2} )^{2} .{√{3}}/{2}= {1 × 2}/{ {2}/{√{3}}}

⇒ x × {3}/{4}×{√{3}}/{2}=√{3}

⇒x= {√{3}×8}/{3√{3}}= {8}/{3}=2 {2}/{3}

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