Question

Choose the correct answer in each of the following questions:
`("cosec"theta-cot theta)^(2)=?`
A. `(1+cos theta)/(1-cos theta)`
B. `(1-cos theta)/(1+cos theta)`
C. `(1+sin theta)/(1-sin theta)`
D. none of these

Answer 1

Correct Answer - B
`("cosec"theta-cottheta)^(2)=((1)/(sintheta)-(costheta)/(sintheta))^(2)=((1-costheta)^(2))/(sin^(2)theta)=((1-costheta)^(2))/((1-cos^(2)theta))=((1-costheta))/((1+costheta)).`