SOLUTION: If cosθ=−1/3 and θ is in the interval [π, 3π/2], then find the value of sin(θ).
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Question 1042080: If cosθ=−1/3 and θ is in the interval [π, 3π/2], then find the value of sin(θ).
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the Pythagorean Trig Identity to solve for
See note below
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Note:
θ is in the interval [π, 3π/2], so theta is in quadrant 3 where sine is negative.
So which means we can drop the plus/minus and focus solely on the minus.
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The final answer is
Answer by ikleyn(52848) (Show Source): You can put this solution on YOUR website!
.
For similar solved problems see the lessons
- Calculating trigonometric functions of angles
- Advanced problems on calculating trigonometric functions of angles
in this site.
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