SOLUTION: If sin(theta) equals 21/29 and is in quadrant 1, what is the value of tan2(theta)?

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Question 1104763: If sin(theta) equals 21/29 and is in quadrant 1, what is the value of tan2(theta)?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If the angle is in quadrant 1 and sin(theta)=21/29, then cos(theta) = 20/29:
sinx%5E2%2Bcosx%5E2+=+1
441%2F841%2Bcosx%5E2+=+1
cosx%5E2+=+400%2F841
cosx+=+2.0%2F29

Then tan(theta) is %2821%2F29%29%2F%2820%2F29%29+=+21%2F20

Beyond that I can't help you, because I can't tell whether "tan2(theta)" means tan%282%2Atheta%29 or %28tan%28theta%29%29%5E2