SOLUTION: Hi I am doing my calculus homework online and I am having problems swith this trig question. If sin(x) = 1/3 and sec(y) = 29/21 , where x and y lie between 0 and π/2, eva

Algebra ->  Trigonometry-basics -> SOLUTION: Hi I am doing my calculus homework online and I am having problems swith this trig question. If sin(x) = 1/3 and sec(y) = 29/21 , where x and y lie between 0 and π/2, eva      Log On


   



Question 895958: Hi I am doing my calculus homework online and I am having problems swith this trig question.
If
sin(x) = 1/3 and sec(y) = 29/21
, where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (Enter an exact answer.)
sin(2y)
I have no idea at all how to go about or anything... I tried using the trig identities but I just got more confused.

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
If sin(x) = 1/3 and sec(y) = 29/21
, where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (Enter an exact answer.)
sin(2y)
Solution:
User the double angle identity
sin(2y) = 2[sin(y)][cos(y)]
=2%28sqrt%2829%5E2-21%5E2%29%2F29%29%2821%2F29%29
=highlight%28840%2F841%29 [Answer]