SSC CHSL 6 Dec 2015 Shift 2 Paper

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Question : 122 of 200

Marks: +1, -0

The value of X in the equation

tan \ 2{π/ 4 − Cos 2 {π /3 − X Sinπ/4

Cosπ/4Tanπ/3

is:

$√3/2$
$3√3/4$
$2/√3$
$1/√3$

Solution:

Expression :

tan \ 2{π/ 4 − Cos 2 {π /3 − X Sinπ/4

Cosπ/4Tanπ/3

= 0
⇒

(1)^ 2 − ( 1/4 ) ^2

−x(1/√2 )(1/√2 )(√3) =0

⇒

1 − 1/4 − {x√3}/ 2 = 0

⇒

3/4={x √3}/2

⇒

x = 3/4×2/√3

⇒

x = √3/2

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