SOLUTION: 11. solve each of the following equations over all real numbers. a. 2 cos x + squareroot3 = 0 b. 2sin^2 x - sin x - 1 = 0 c. sin(98t) + 2 = 1 d. 2sin^2 theta = 2 + cos2theta

Question 1171886: 11. solve each of the following equations over all real numbers.
a. 2 cos x + squareroot3 = 0
b. 2sin^2 x - sin x - 1 = 0
c. sin(98t) + 2 = 1
d. 2sin^2 theta = 2 + cos2theta
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
cos x=-sqrt(3)/2
this occurs at (5/6)π=2πn and (7/6)π+/-2πn
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(2 sin x+1)(sin x -1)=0
sin x=1 and sin x=-1/2
π/2, 7π/6, 11π/6, with the +/-2πn

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2 sin^2 x=2+(1-sin^2 x)
3 sin^2x=3
sin^2x=1
x=π/2, and 3π/2 with +/-2πn
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