If $\frac{cosθ+sinθ}{cosθ-sinθ}=8$, then the value of cot θ is equal to :
Answer & explanation
Correct answer: option 2
\(\frac{cosθ + sinθ }{cosθ - sinθ }\) = 8
By applying Dividendo and Componendo
\(\frac{cosθ + sinθ + cosθ - sinθ }{cosθ + sinθ - cosθ + sinθ }\) = \(\frac{8+1 }{8-1}\)
\(\frac{cosθ }{ sinθ }\) = \(\frac{9 }{7}\)
cot θ = \(\frac{9 }{7}\)