Prove the following identity: (sin2 θ - 1) (tan2 θ + 1) + 1 = 0

Question

KnowledgeBoat · Accepted Answer

Solving L.H.S: ⇒ (sin2 θ - 1) (tan2 θ + 1) + 1 By formula, ⇒ sin2θ − 1 = − cos2θ ⇒ tan2θ+ 1 = sec2θ = -cos2θ (sec2θ) + 1 By formula, ⇒ cos2θ × sec2θ = 1 = −1 + 1 = 0 Since, L.H.S. = R.H.S. Hence, proved that (sin2 θ - 1) (tan2 θ + 1) + 1 = 0.

Mathematics

Prove the following identity:
(sin² θ - 1) (tan² θ + 1) + 1 = 0

Trigonometric Identities

Answer

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Mathematics

Prove the following identity:(sin2 θ - 1) (tan2 θ + 1) + 1 = 0

Trigonometric Identities

Answer

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