Consider the following. csc²(x) (1 - sin²(x)) = cot²(x) Prove or disprove the identity. csc²(x) (1 - sin²(x)) + = = Therefore, csc²(x)(1 - sin²(x)) 1 csc²(x) - csc²(x) - cot (x)² X cot²(x). 1 - csc²(x) sin²(x) . sin²(x)

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A: Here we have to find the area of the triangle.

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A: see below the answer and explanation

Q: (b) Solve sin 2x + cos2x = sin² x+1 for 0≤x≤ 2π.

A: To solve the following equation.sin2x+cos2x=sin2 x+1 for 0≤x≤2π

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A: We have to determine the three positive solution

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A: The solution is given below

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A: cot2θ=cot2θ-12cotθ

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A: given tan2x=3        →tanπ3=3       →tan4π3=3

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A: Given query is to find the values of t.

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A: Please see the below picture for detailed solution.

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A: Solution is given below:

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A: see below the answer and explanation

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A: Given query so to find the area of the triangle.