If \frac{\cos \\theta+\sin \\theta}{\cos \\theta-\sin \\theta}=8 , then the value of \cot \\theta is equal to

SSC CHSL 12 Oct 2020 Shift 1 Paper

Question : 72 of 100

Marks: +1, -0

{\cos \θ+\sin \θ}/{\cos \θ-\sin \θ}=8

, then the value of

\cot \θ

is equal to

Solution:

{\cos \θ+\sin \θ}/{\cos \θ-\sin \θ}=8

Dividing the numerator and denominator by

\sin \θ

{\cot \θ+1}/{\cot \θ-1}=8

8 \cot \θ-8=\cot \θ+1

7 \cot \θ=9

\cot \θ={9}/{7}

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