N4 Examination Trigonometry

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December 9th 2012, 08:51 AM
chris541125

N4 Examination Trigonometry

Can someone please help with the following:
proof that
2sinx+1/sin2x+cosx=secx
Thank you
December 9th 2012, 09:51 AM
skeeter

Re: N4 Examination Trigonometry

post trig problems in the trig forum, please.
December 9th 2012, 09:58 AM
Soroban

Re: N4 Examination Trigonometry

Hello, chris541125!

I had to guess what the problem said . . .

Quote:

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

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

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

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