Question

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Answer 1

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Answer:

LHS=sec⁴Ɵ–sec²Ɵ RHS=tan⁴Ɵ+tan²Ɵ

=sec²(sec²–1)

(as, sec²Ɵ=1+tan²Ɵ)

LHS=(1+tan²Ɵ)(tan²Ɵ)

LHS=tan⁴Ɵ+tan²Ɵ=RHS

Hence, proved.