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.
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-> 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.
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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.
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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.