SOLUTION: Find sin 2 theta, cos 2 theta, and tan 2 theta for each set of conditions. cos theta = -5/13 and pi/2 < theta

SOLUTION: Find sin 2 theta, cos 2 theta, and tan 2 theta for each set of conditions. cos theta = -5/13 and pi/2 < theta < pi. Thank you.

Question 1036142: Find sin 2 theta, cos 2 theta, and tan 2 theta for each set of conditions.
cos theta = -5/13 and pi/2 < theta < pi.
Thank you.
Answer by ikleyn(52792) (Show Source): You can put this solution on YOUR website!
.
Find sin 2 theta, cos 2 theta, and tan 2 theta for each set of conditions.
cos theta = -5/13 and pi/2 < theta < pi.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since   =   and   <  < , 

 =  =  =  =  = .

The sign "+" was chosen at the square root because the sine is positive in the second quadrant.


Next,

 =  =  = ,


 =  =  =  = .


By the way, the signs of the    and    say  that   lies in the quadrant 3.


Now,   =  =  = .

Solved.

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