prove that (1+1/tan^2 theta ) (1+1/cot^2 theta)= 1/sin^2 theta-sin ^4 theta
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Answer:
=(1+tan^(2) A) + (1+(1) / (tan^(2) A))
=Sec²A + sec²A/tan²A
=Sec²A(1+tan²A)/tan²a
= Sec⁴A/tan²A
=1/(sin²A.cos²A)
=1/[sin²A(1-sin²A)]
=1/(sin²A-sin⁴A). Proved…
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