Can someone please help with the following:

proof that

2sinx+1/sin2x+cosx=secx

Thank you

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- Dec 9th 2012, 08:51 AMchris541125N4 Examination Trigonometry
Can someone please help with the following:

proof that

2sinx+1/sin2x+cosx=secx

Thank you - Dec 9th 2012, 09:51 AMskeeterRe: N4 Examination Trigonometry
post trig problems in the trig forum, please.

- Dec 9th 2012, 09:58 AMSorobanRe: N4 Examination Trigonometry
Hello, chris541125!

I had towhat the problem said . . .*guess*

Quote:

Prove: .$\displaystyle \frac{2\sin x+1}{\sin2x+\cos x}\:=\:\sec x$

Identity: .$\displaystyle \sin2x \:=\:2\sin x\cos x$

The left side is: .$\displaystyle \frac{2\sin x + 1}{2\sin x\cos x + \cos x} \;=\; \frac{2\sin x + 1}{\cos x(2\sin x + 1)} \;=\;\frac{1}{\cos x} \;=\;\sec x$