Solve each equation x in radians and theta in degrees for al

Solve each equation (x in radians and theta in degrees) for all exact solutions where appropriate. Round approximate answers in radians to four decimal places and approximate answers in degrees to the nearest tenth. Write answers using the least possible non negative angle measures. See Examples 1-4. squareroot 2 sin 3x - 1 = 0 -2 cos 2x = squareroot 3 cos theta/2 = 1 sin theta/2 =l 2 squareroot3 sin x/2 = 3 2 squareroot 3 cos x/2 = -3

Solution

25)

2 sin3x -1=0

2 sin3x =1

sin3x=1_/2

3x=_/4

x=_/12

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26)

-2cos2x =3

cos2x =-(3)_/2

2x =5_/6

x=5_/12

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27)cos(/2) =1

/2 =0

=0^o

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28)sin(_/2) =1

_/2 =90^o

=180^o

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29)23 sin(x_/2) =3

sin(x_/2) =3_/(23)

sin(x_/2) =(3)_/2

(x_/2) =_/3

x=2_/3

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30)

23 cos(x_/2) =-3

cos(x_/2) =-3_/(23)

cos(x_/2) =(-3)_/2

(x_/2) =5_/6

x=5_/3