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) =
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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) (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.
---
sin = 3/5
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(a) cos(theta)
cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)
-----
(b) sin(2theta) =
sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3
-----
(c) cos(2theta
cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)
-----
(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3)
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