Question

suppose that tan t = 5/12 and sin t<0. Find sin (2t) by hand using identities only

Answer 1

You should memorize this:
sin2x = 2sinxcosx

Answer 2

I know that equation, but I do not know how to use it with this equation.

Answer 3

@johnweldon1993 @wio @Zarkon

Answer 4

\[
\tan t= \frac 57 \implies \frac{\sin t}{\cos t} = \frac 57
\]

Answer 5

\[
\sin t = \frac 5h,\ \cos t = \frac 7h
\]