Solve each equation for u if 0° <= u < 360°. If rounding is necessary, round to the nearesttenth of a degree      3 sin u +2 sin u cos u =0

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.2: The Law Of Cosines
Problem 61PS
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Solve each equation for u if 0° <= u < 360°. If rounding is necessary, round to the nearest
tenth of a degree 

 

 

3 sin u +2 sin u cos u =0 

Expert Solution
Step 1

We have to solve the equation:

3 sin u+2 sin u cos u=0 for 0°u<360°.

Taking sin u common in the equation, we get

3 sin u+2 sin u cos u=0sin u3+2 cos u=0

Therefore,

3+2 cos u=02 cos u=-3cos u=-32=-1.5

But we know that cosine function occurs between -1 to 1 or cos u-1, 1.

Here 1.5 is not lying in the range of cosine function -1, 1.

Hence, there won't be any value of u in this case.

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