How do you solve: sin(x) = -0.78 on 0 ≤ x ≤ 2π ?

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Additional info given: There are two solutions, A and B, with A < B.

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Answer 1 · 2016-07-22T06:04:42

#x=231.78^o# and #x=308.22^o#

Within the range #0<=x<=2pi#, #sinx# is negative in third and fourth quadrant.

As #sinx=-0.78# (as #sin51.78^o=0.78#)

#x=(180+51.78)^o=231.78^o# and

#x=(360-51.78)^o=308.22^o#