sparknotes

Trigonometric Identities

Problem : Prove the following identity: tan(θ)cos(θ) = sin(θ)

Problem : Prove the following identity: (sin(θ))⁴ +2(sin(θ))²(cos(θ))² + (cos(θ))⁴ = tan(θ)cot(θ)

(sin(θ))⁴ +2(sin(θ))²(cos(θ))² + (cos(θ))⁴ = tan(θ)cot(θ)

(sin(θ))⁴ +2(sin(θ))²(cos(θ))² + (cos(θ))⁴ =

(sin(θ))⁴ +2(sin(θ))²(cos(θ))² + (cos(θ))⁴ = 1

((sin(θ))² + (cos(θ))²)((sin(θ))² + (cos(θ))²) = 1

(1)(1) = 1

Problem : Prove the following identity: - cos(θ)(cot(θ))² = cot(θ)sin(θ)

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