SOLUTION: Suppose that sin(t)=7/25 where t is in the 1st quadrant. Find cos(2t). Help please and show an example with numbers please the words are what confuse me in the 1st place!

Question 762241: Suppose that sin(t)=7/25 where t is in the 1st quadrant. Find cos(2t). Help please and show an example with numbers please the words are what confuse me in the 1st place!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Suppose that sin(t)=7/25 where t is in the 1st quadrant. Find cos(2t). Help please and show an example with numbers please the words are what confuse me in the 1st place!
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Identity: cos(2t)=cos^2(t)-sin^2(t)=576/625-49/625=527/625
Calculator check:
sin(t)=7/25
t≈16.26�
2t≈32.52�
cos(2t)=cos(32.52�)≈0.8432
exact value=527/625≈0.8432

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