SOLUTION: Suppose that sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly. (a) cos(theta) = (b) sin(2theta) =

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose that sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly. (a) cos(theta) = (b) sin(2theta) =       Log On


   



Question 1060186: Suppose that sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
(a) cos(theta) =
(b) sin(2theta) =
(c) cos(2theta) =
(d) tan(2theta) =

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
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sin = 3/5
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(a) cos(theta)
cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)
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(b) sin(2theta) =
sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3
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(c) cos(2theta
cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)
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(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3)