SOLUTION: Find the exact value of the trigonometric function given that sin u = -12/13 and cos v = 24/25. (Both u and v are in Quadrant IV) a)sin (u+v) b)cos(v-u) c)tan(u-v)

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Question 1179362: Find the exact value of the trigonometric function given that sin u = -12/13 and cos v = 24/25. (Both u and v are in Quadrant IV) a)sin (u+v) b)cos(v-u) c)tan(u-v)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Find the exact value of the trigonometric function given that
and

using Pythagorean identity to find







or

In the fourth quadrant, the values for cos are positive only, so use


now find







or

since in Quadrant IV , use


so we have:
and
and


a)
......substitute given values





b)
and
and







c)
and
and







Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Find the exact value of the trigonometric function given that sin u = -12/13 and cos v = 24/25. (Both u and v are in Quadrant IV) a)sin (u+v) b)cos(v-u) c)tan(u-v)
. With y = - 12, and r = 13, x = 5, since this represents a 5-12-13 PYTHAG. Triple. We also get: 

. With x = 24, and r = 25, y = - 7, since this represents a 7-24-25 PYTHAG. triple. We also get: 

a)      b)  

                                               c) 

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