Posted by Bryan on Friday, March 19, 2010 at 4:42pm.
If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(xy)
cos(4/5  5/13)
Is this what I would do?

math  drwls, Friday, March 19, 2010 at 4:48pm
Your sin(x) fraction lacks a numerator

math  Bryan, Friday, March 19, 2010 at 4:51pm
the sine is 4/5 sorry!

math  drwls, Friday, March 19, 2010 at 8:13pm
No, that is not what you would do. Call the angles A and B.
For the angles you have chosen,
cos(x) = 3/5 and sin(y) = 12/13. You can prove that with the Pythagorean theorem, or sin^2 + cos^2 = 1. That will make the calculation easier.
Then use the identity:
cos(AB) = cosA cosB + sinA sin B
= (3/5)(5/13) + (4/5)(12/13)
= (15 + 48)/65 = 63/65
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