Question

(viii) cos A - sin A / cos A + sin A = sec 2A - tan 2A​

Answer 1

Step-by-step explanation:

$\small \frac{ \cos(a) - \sin(a) }{ \sin(b) + \cos(b) } = \sec(2a) - \tan(2a)$

$\tiny\frac{ (cos(a) - sin(a)(sin(b) - cos(b)}{sin(b) + cos(b)(sin(b) - cos(b)} = \sec(2a) - \tan(2a) \\ \tiny \frac{cos ^{2} (ab)sin ^{2} (ab)}{cos ^{2}b - sin ^{2}b } = \sec(2a) - \tan(a)$

The given statement is not possible.

Therefore, LHS≠RHS

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