SOLUTION: Find sin s if cos s = 2/3 and s is in quadrant IV.?

SOLUTION: Find sin s if cos s = 2/3 and s is in quadrant IV.?

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Question 899175: Find sin s if cos s = 2/3 and s is in quadrant IV.?
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
In quadrant 4, the sine function is negative.
cos s = adjacent divided by hypotenuse.
cos s = 2/3
We find the missing side of the right triangle using the Pythagorean Theorem.
The missing side turns out to be the square root of 5.
We also know that sin s = opposite side divided by hypotenuse.
So, sin s = -sqrt{5}/3.
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