Question

Refer to the triangle and compute the quantities indicated. (Enter your answers in exact form.)

a) sin 2t

b) cos 2t

c) tan 2t

Seriously, I need help.

Answer 1

Hmm.. well, we can find t by the following:
\[\large \tan(t)=\frac{ 9 }{ 12 } \rightarrow t=\tan^{-1}(\frac{ 9 }{ 12 })\]
Then you can compute s by also using tan\[\large \tan(s)=\frac{ 12 }{ 9 } \rightarrow s=\tan^{-1}(\frac{ 12 }{ 9 })\]

I think what it wants after that is to compute, once you have t, the following:
sin(2t)
tan(2t)
cos(2t)
Which you can find by plugging into a calculator

Answer 2

Wait, so how do I plug it in?

Answer 3

You get your value of t, and you plug sin(2t) into a calculator. And then tan(2t) and cos(2t)

Answer 4

Well, I'm supposed to get the answer in fraction form.