Question

tan(45+a)+tan(45-a)=(2)/(cos2a)

Answer 1

Open up tan(45+1) and tan (45-a)

Answer 2

*45+a

Answer 3

im up to
(1+tanA)/(1-tanA) + (1-tanA)/(1+tanA)

Answer 4

\[\tan(x + y) = \frac{\tan(x) + \tan(y)}{1 - \tan(x)\tan(y)}\]
\[\tan(x) - \tan(y) = \frac{\tan(x) - \tan(y)}{1 + \tan(x)\tan(y)}\]

Answer 5

*tan(x-y) on LHS..

Answer 6

so whats next?

Answer 7

Take LCM first and combine the two terms by making their denominator equal..

Answer 8

ok

Answer 9

\[\frac{1 +\tan(a)}{1 - \tan(a)} + \frac{1 - \tan(a)}{1 + \tan(a)}\]

Answer 10

yeah
next step please

Answer 11

\[\implies \frac{(1 + \tan(a))^2 + (1 - \tan(a))^2 }{(1 - \tan(a))(1 + \tan(a))}\]

Answer 12

yes and after that?

Answer 13

Just expand the squares and cancel out what is being cancelled..

Answer 14

ok