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

Question

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

21451 views around the world

You can reuse this answer
Creative Commons License

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#