Math  /  Trigonometry

QuestionExpress sin(θ)cos(θ)cot(θ)\sin (\theta) \cdot \cos (\theta) \cdot \cot (\theta) using sint\sin t and cost\cos t, then simplify.

Studdy Solution
implify the expression by cancelling out the common terms.
sin(θ)cos(θ)cos(θ)sin(θ)=cos2(θ)\sin (\theta) \cdot \cos (\theta) \cdot \frac{\cos (\theta)}{\sin (\theta)} = \cos^2 (\theta)So, the given expression sin(θ)cos(θ)cot(θ)\sin (\theta) \cdot \cos (\theta) \cdot \cot (\theta) simplifies to cos2(θ)\cos^2 (\theta).

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