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## anonymous 5 years ago cos²β(1+tan²β)=1. Show this is an identity. I have so much trouble with these....

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1. anonymous

It follows from $1+\tan^2\beta = \sec^2\beta$ (which in turn follows from dividing the identity $\sin^2\beta + \cos^2\beta = 1 \text{ by } \cos^2\beta$

2. anonymous

I still don't see it. what would i do next?

3. anonymous

Wait, it's easier. Just multiply out the equation you have to start and it follows immediately.

4. anonymous

tan^2 = sin^2/cos^2 => tan^2 x cos^2 = sin^2

5. anonymous

I'm still confused!

6. anonymous

Oh dear :(

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