Question

=tan 55° – tan 17°1 + tan 55° - tan 17°= [? ][ ] )Enter

Answer 1

We have to simplify the expression.

We can use trigonometric identities to do that.

We know that:

$\tan (\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\cdot\tan(\beta)}$

In our case, we have the expression from the right side of the identity, where alpha = 55° and beta = 17°.

Then we can write:

$\frac{\tan(55\degree)-\tan(17\degree)}{1+\tan(55\degree)\cdot\tan(17\degree)}=\tan (55-17)=\tan (38\degree)$

Answer: tan(38°)