SSC CGL 12 Jun 2019 Shift 1 Paper

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Question : 55 of 100

Marks: +1, -0

If

\cos \θ=\ {4}/{5 },

then

\sin ^{2} \θ\cos \θ+\cos ^{2} \θ\sin \θ

is equal to:

$16/25$
$84/125$
$14/25$
$82/125$

Solution:

\cos \θ=\ {4}/{5}, \sin \θ=\ {3}/{5}

=\sin \θ\.\cos \θ(\sin \θ+\cos \θ)

=\ {3}/{5} \× \ {4}/{5}\ (\ {3}/{5}+\ {4}/{5}\ )

=\ {12}/{25}\ (\ {7}/{5}\ )=\ {84}/{125}

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