Question

If 2secA - (1 + sinA)/cOSA = x, then the value of x is​

Answer 1

Answer:

$\frac{2}{cosa} - \frac{1 + sina}{cosa} = \frac{1 - sina}{cosa} = \frac{1 - cos( \frac{\pi}{2 } - a)}{sin( \frac{\pi}{2 } - a)} = \frac{2 {sin}^{2}( \frac{\pi}{4} - \frac{a}{2} ) }{2sin( \frac{\pi}{4} - \frac{a}{2})cos( \frac{\pi}{4} - \frac{a}{2} )} = tan( \frac{\pi}{4} - \frac{a}{2} )$

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