SSC CGL 17 Aug 2017 Shift 2 Paper

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Question : 70 of 100

Marks: +1, -0

\ΔA B C

is right angled at

B

. If

m ∠A=60°,

then what is the value of

1 /√ {3} {\cosec} C \ ?

$2 / √{3}$
$2 / {3}$
$√2 / √{3}$
$√2 / {3}$

Solution:

According to the question,

In right angled

\Δ A B C, ∠ A+∠ B+∠ C=180°

⇒

60°+90°+∠ C=180°

∠ C=180°- (60°+90° )

⇒

180°-150°=30°

∴

{1}/{√{3}} {\cosec} C=\ {1}/{√{3}} {\cosec} 30°

= {1}/{√{3}}× 2=2 /√ {3}

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