tan(pi/4 + x) + tan(pi/4 - x) = 2sec2x

I know that I must use compound angle formula for tan, but I'm still having heaps of trouble. Can someone show me the steps to solve this please?

Thanks in advance!

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- Nov 21st 2010, 08:53 AMdoodofnoodHow to solve this identity?
tan(pi/4 + x) + tan(pi/4 - x) = 2sec2x

I know that I must use compound angle formula for tan, but I'm still having heaps of trouble. Can someone show me the steps to solve this please?

Thanks in advance! - Nov 21st 2010, 09:18 AMAlso sprach Zarathustra
tan(pi/4 + x) =cotx

+

tan(pi/4 - x)=-cotx

=0

hmm.. or maybe I am fool! - Nov 21st 2010, 09:42 AMUnknown008

Recall that

Combine the fractions.

Simplify;

Hm.. time to convert into the basic ratios.

Multiply by cos/cos

Now, recall that:

Shown! - Nov 21st 2010, 10:07 AMTheCoffeeMachine
- Nov 21st 2010, 07:41 PMTheCoffeeMachine
- Nov 21st 2010, 10:16 PMSoroban
Hello, doodofnood!

Quote:

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