Cos square theta + cos square theta cot square theta = cot squared theta
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Step-by-step explanation:
Let the theta be A.
LHS=cos²A+cos²Acot²A
= cos²A(1+cot²A). [1+cot²A=cosec²A]
=cos²A(cosec²A)
=cos²A(1/sin²A). [cosec²A=1/sine²A]
=cos²A/sin²A
=cot²A
=RHS.
:LHS=RHS.
Hence proved.
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