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

Question

4829 views around the world

You can reuse this answer
Creative Commons License

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#