Can someone please help with the following:
proof that
2sinx+1/sin2x+cosx=secx
Thank you
Hello, chris541125!
I had to guess what the problem said . . .
Prove: .$\displaystyle \frac{2\sin x+1}{\sin2x+\cos x}\:=\:\sec x$
Identity: .$\displaystyle \sin2x \:=\:2\sin x\cos x$
The left side is: .$\displaystyle \frac{2\sin x + 1}{2\sin x\cos x + \cos x} \;=\; \frac{2\sin x + 1}{\cos x(2\sin x + 1)} \;=\;\frac{1}{\cos x} \;=\;\sec x$