Question

if cosec theta+cot theta=m and cosec theta-cot theta=n prove that mn=1

Answer 1

Mn = 1
Substitute the values of m and n
Cosec theta + cot theta (cosec theta - cot theta)
Cosec^2theta - cosectheta×cottheta + cottheta ×cosectheta - cot^2 theta
Cosec^2theta - cot^2theta (cosectheta×cotttheta is eliminated coz of opposite signs)
Remaining = cosec^2theta - cot ^2theta = 1
(Hence proved)

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