Question

Write the following in terms of sin θ only.
cot θ

Answer 1

The written form of cot θ in terms of sin θ is; √(1-sin²θ)/sinθ

Writing trigonometric functions

The given trigonometric identity is; cot θ.

From trigonometric identities;

• cot θ = cos θ/sin θ

• However, sin²θ + cos² θ = 1

• Hence, cosθ = √(1-sin²θ)

Hence, by substitution,

• cot θ = √(1-sin²θ)/sinθ

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