Cos2A-1/sinA + (sin2A x cosA/cos2A+1) is equal to?

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Answer 1 · 2016-09-04T06:48:39

$-sin A$ .

We know that,

$1-cos 2A=2sin^2 A, 1+cos 2A=2cos^2 A,&, sin 2A=2sin Acos A$ .

Hence, the Expression

$=(cos 2A-1)/sin A+(sin 2A*cos A)/(cos 2A+1)$

$=(-2sin^2 A)/(sin A)+(2sin Acos A*cos A)/(2cos^2 A)$

$=-2sin A+sin A$

$=-sin A$