Determine the exact solution to the following in radians.

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = $\pi$ /6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7 $\pi$ /6
360-3=330 = 11 $\pi$ /6

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