(1+cot^2theta) sin^2 theta
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1
Answer:
1
Step-by-step explanation:
We have the expression: (1+cot^2θ)sin^2θ
We know that cot θ=cosθ÷sinθ
therefore, the expression will be changed to (1+cos^2θ÷sin^2θ)sin^2θ
Simplifying, we get
sin^2θ+cos^2θ
We know that sin^2θ+cos^2θ=1
Therefore, the answer will be 1.
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