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Solution
Expression : $$tanA - cotA = x$$
= $$\frac{sin A}{cos A} - \frac{cos A}{sin A}$$
= $$\frac{sin^2 A - cos^2 A}{sin A cos A}$$
Using, $$sin^2 A = 1 - cos^2 A$$
= $$\frac{(1 - cos^2 A) - cos^2 A}{sin A cos A}$$
= $$\frac{1 - 2cos^2 A}{sin A cos A}$$
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