SOLUTION: the question is find the exact value of sin theta if cos theta=5/7 and theta terminates in quadrant 4. Draw the angle theta in standard position and the exact valu of sin theta?

Question 618255: the question is find the exact value of sin theta if cos theta=5/7 and theta terminates in quadrant 4. Draw the angle theta in standard position and the exact valu of sin theta?

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
We can use and the fact that terminates in the 4th quadrant to find .

Inserting the given value for :

Simplifying...

So is one of the square roots of 24/49. Since terminates in the 4th quadrant and since sin is negative in the 4th quadrant, we know to use the negative square root:

which simplifies:

I'll leave the drawing up to you.
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