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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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It follows from \[1+\tan^2\beta = \sec^2\beta\] (which in turn follows from dividing the identity \[\sin^2\beta + \cos^2\beta = 1 \text{ by } \cos^2\beta \]
I still don't see it. what would i do next?
Wait, it's easier. Just multiply out the equation you have to start and it follows immediately.

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Other answers:

tan^2 = sin^2/cos^2 => tan^2 x cos^2 = sin^2
I'm still confused!
Oh dear :(

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