How do I find the tangent of an angle using the sine and cosine???

Question

hartnn · Answer

just use this formula:
$\tan x = \dfrac{\sin x}{\cos x}$

natasha18 · Answer

THANK YOU i was looking for that formula forever but i couldnt fin it

hartnn · Answer

welcome ^_^

natasha18 · Answer

@hartnn  could you help with one more thing??

natasha18 · Answer

Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, then angle B measures

natasha18 · Answer

Thats my question

natasha18 · Answer

how do i use one tangent to find another tangent??

natasha18 · Answer

i know with cos they have to measure 90 degrees when theyre combined

hartnn · Answer

you don't have to find another tangent :)
you need to find the measure of angle B.

natasha18 · Answer

oooh ok

hartnn · Answer

start by finding measure of angle A.

tan A  = 2.1445
A = .. ?

natasha18 · Answer

oooh thats 65 degrees

natasha18 · Answer

so it would be 180 - 155?

hartnn · Answer

how?

hartnn · Answer

angles in a triangle sum upto 180

hartnn · Answer

one of the angle is 90,
one is 65
so whats the 3rd?

natasha18 · Answer

you add 65 to 90 and get 155. 180 is sum of all angles in a triangle so 180-155 is 25

hartnn · Answer

yes, i just realised you are correct :P

hartnn · Answer

or simply, since it is a right triangle,
you could do 
90-65 = 25 :)

natasha18 · Answer

oh duh haha thanks again!

hartnn · Answer

welcome again ^_^