√tan tan +tan cot / sec sec − sin ^2 cos ^2 = tan A
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Step-by-step explanation:
√tan A tanA +tanA cotA / secA sec A− sin ^2A cos ^2A
= √tan² A +tanA cotA / sec²A − sin²A cos²A
= tan A + 1 / sec²A − sin²A cos²A
= tan A + 1 / sec²A − cos²A( 1 - cos²A)
= tan A + 1 / sec²A − cos²A + cos^4A
= tan A + cos²A − cos²A + cos^4A
= tan A + cos^4A
= tan A
cos A = 0
A = π/2 ± 2nπ , n is an integer
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