Question

Sin θ = a/b; Cos θ = c/d then Cot θ =

A) ab/cd

B) bc/ad

C) ca/bd

D) ad/bc

Answer 1

Correct option is: B) \(\frac{bc}{ad}\)

We have Sin \(\theta\) = \(\frac{a}{b}\) ; Cos \(\theta\) = \(\frac{c}{d}\)

\(\therefore\) cot \(\theta\) = \(\frac {cos\, \theta}{sin \, \theta} = \frac {\frac cd}{\frac ab}\) = \(\frac cd \times \frac ba = \frac {bc}{ad}\)

Answer 2

Correct option is: B) \(\frac{bc}{ad}\)