Question 84

If $$cot^{2}A-cos^{2}A = x$$, then value of x is

Solution

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Expression : $$cot^{2}A-cos^{2}A = x$$

= $$\frac{cos^2A}{sin^2A} - cos^2A$$

= $$cos^2A(\frac{1}{sin^2A} - 1)$$

= $$cos^2A(\frac{1 - sin^2A}{sin^2A})$$

= $$cos^2A \times \frac{cos^2A}{sin^2A}$$

= $$cot^2Acos^2A$$

=> Ans - (C)

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