SSC CHSL Model Paper 11

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Question : 51 of 100

Marks: +1, -0

QUANTITATIVE APTITUDE

If

\tanθ=2/3,

then

{3\sinθ-4\cosθ}/{3\sinθ+4\cosθ}

is equal to

$-1/3$
$2/3$
$-2/3$
$1/3$

Solution:

\tanθ=2/3,

{3\sinθ-4\cosθ}/{3\sinθ+4\cosθ}

={3{\sinθ}/{\cosθ}-4{\cosθ}/{\cosθ}}/{3{\sinθ}/{\cosθ}+4{\cosθ}/{\cosθ}}

={3\tanθ-4}/{3\tanθ+4}

={3×2/3-4}/{3×2/3+4}

=-1/3

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