Cos^theta(1+tan^2theta)+sin^2theta(1+cot^2theta)=2
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Cos²theta(1+tan²theta)+sin²theta(1+cot²theta)=2
Cos²theta(sec²theta)+sin²theta(cosec²theta)=2 ...(1)
note Cos²theta=1/sec²theta
note Cos²theta=1/sec²theta sin²theta=1/cosec²theta
then (1) eqn = 1+1 = 2
hope this will help you
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