Question

Prove the following trigonometric identities:
(secθ+cosθ)(secθ-cosθ)=tan²θ+sin²θ

Answer 1

Step-by-step explanation:

sec²A -secAcosA+cosAsecA-cos²A

tan²A+1-(1-sinA)

tan²A+sin²A

Answer 2

L.H.S.

=> sec²θ - cos²θ

=> sec²θ - cos²θ -1+1

=> sec²θ -1 +1-cos²θ

=> tan²θ + sin²θ = R.H.S.

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