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Q23 of 58 Page 8

Prove that

Proof:

Taking LHS

As we know,

As we know sin²A + cos²A = 1

= sec A + tan A

= RHS

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If cosθ+cos² θ=1, prove that

sin¹² θ+3sin¹⁰ θ+3sin⁸ θ+sin⁶ θ+2sin⁴ θ+2sin² θ-2=1