(1+tan^2 theta)(1-sin theta)(1+sin theta)=1
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Step-by-step explanation:
LHS
(1+tan^2 theta)(1-sin theta)(1+sin theta)
since
(1 + x)(1 - x) = 1 - x^2
so
sec^2x (1 - sin^2x)
cos^2x/cos^2x
1
Hence LHS = RHS
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