SOLUTION: I need your help on the following problem: Find the exact value of sin (-π/3) Thankyou

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Question 190622: I need your help on the following problem:
Find the exact value of sin (-π/3)
Thankyou
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: since sine is an odd function, this means that sin%28-x%29=-sin%28x%29. So sin%28-pi%2F3%29=-sin%28pi%2F3%29


In order to evaluate -sin%28pi%2F3%29, just evaluate sin%28pi%2F3%29 and negate it.


Looking at the unit circle:




We see that at the theta value pi%2F3, the y-coordinate of the point on the unit circle is y=sqrt%283%29%2F2


So this simply means that sin%28pi%2F3%29=sqrt%283%29%2F2


Now negate to get -sin%28pi%2F3%29=-sqrt%283%29%2F2


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Answer:


So sin%28-pi%2F3%29=-sqrt%283%29%2F2