Question 756804: Find, to the nearest degree, the solution set of 6 sin x + 11 = 2csc x over the domain {x| 0° ≤ x ≤ 360°}
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find, to the nearest degree, the solution set of 6 sin x + 11 = 2csc x over the domain {x| 0° ≤ x ≤ 360°}
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6 sin x + 11 = 2csc x
6 sin x + 11 - 2csc x=0
6 sin x + 11 - 2/sin x=0
LCD:sinx
6sin^2x+11sinx -2=0
(6sinx-1)(sinx+2)=0
sinx+2=0
sinx=-2(reject, -1≤sinx≤1)
or
6sinx-1=0
sinx=1/6
x=9.59≈10º, 170º(in Q1 and Q2 where sin>0
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