Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ
How to simplify Trigonometric Functions?
We want to simplify;
sin²θ + sin²θ cos²θ
Let us factorize out sin²θ to get;
sin²θ(1 + cos²θ)
Now, we know that cos²θ = 1 - sin²θ
Thus;
sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)
⇒ sin²θ(2 - sin²θ)
⇒ 2sin²θ - sin⁴θ
Read more about Trigonometric functions at; https://brainly.com/question/6904750
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