SOLUTION: recall that sin 2x = 2 sin x * cos x and that sin^2 x + cos^2 = 1. Given that sin alpha = 3/5, we conclude that, a) sin 2 alpha = 19/25 b) |sin 2 alpha| = 24/25 c) |sin 2 alp

Algebra ->  Trigonometry-basics -> SOLUTION: recall that sin 2x = 2 sin x * cos x and that sin^2 x + cos^2 = 1. Given that sin alpha = 3/5, we conclude that, a) sin 2 alpha = 19/25 b) |sin 2 alpha| = 24/25 c) |sin 2 alp      Log On


   



Question 1122330: recall that sin 2x = 2 sin x * cos x and that sin^2 x + cos^2 = 1. Given that sin alpha = 3/5, we conclude that,
a) sin 2 alpha = 19/25
b) |sin 2 alpha| = 24/25
c) |sin 2 alpha| = 6/5

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Try making the substitution for sin%28alpha%29=3%2F5 and see what you find!

You find for first identity, sin%282alpha%29=%286%2F5%29cos%28alpha%29.

You find for the second identity with the given value, cos%28alpha%29=0%2B-+4%2F5.


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Choices (a) and (c) are not right.