If tan θ = cot θ and 0° ≤ θ ≤ 90°, state the value of θ.

Question

KnowledgeBoat · Accepted Answer

tan θ = cot θ As we know that sin2 θ \+ cos2 θ = 1 ⇒ sin2 θ \+ sin2 θ = 1 ⇒ 2sin2 θ = 1 ⇒ sin2 θ = ⇒ sin θ = ⇒ sin θ = sin 45° ⇒ θ = 45° Hence, the value of θ = 45°.

Mathematics

If tan θ = cot θ and 0° ≤ θ ≤ 90°, state the value of θ.

Trigonometric Identities

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