SSC CHSL 20 Dec 2015 Shift 1 Paper

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Question : 130 of 200

Marks: +1, -0

If tan

[π/2-α/2]=√3

,then the value of cos

α

is

$√3/2$
$1/2$
$1/√2$
0

Solution:

Given ,
tan

[π/2-α/2]=√3

cot

[α/2]=√3

α/2=30°( ∵ cot 30°=√3)

α=60°

cos

α=cos30°=1/2

Hence, option B is the correct answer.

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