SSC MTS Model Paper 2

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Question : 43 of 150

Marks: +1, -0

If sin 2x =

1/ 5

, then the value of (sinx + cosx) will be

$√{2/5}$
$√{4/5}$
$√{7/5}$
$√{6/5}$

Solution:

(4)

\sin 2 x = { 1 } /{ 5 } = 1 + \sin 2 x = 1 + { 1 }/ { 5 } = { 6 } /{ 5 }

∴ \sin ^ { 2 } x + \cos ^ { 2 } x + 2 \sin x × \cos x = { 6 } /{ 5 }

= ( \sin x + \cos x ) ^ { 2 } = { 6 }/ { 5 }

= \sin x + \cos x = √ {{ 6 } /{ 5 } }

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