Question

cot^2 x - cot^2 x cos^2 x

Answer 1

Answer on Question #58235 – Math – Trigonometry

Question

$$cot^2 x - cot^2 x \cdot cos^2 x$$

Solution

$$cot^2 x - cot^2 x \cdot cos^2 x = cot^2 x(1 - cos^2 x) = cot^2 x \cdot sin^2 x = \frac{cos^2 x}{sin^2 x} \cdot sin^2 x = cos^2 x.$$

Answer: $cos^2 x$.

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