SOLUTION: solve sin(x)=-0.86 on 0≤x<2pi There are two solutions, A and B, with A < B and A and B in radians to 4 decimal places A= B= how do I do this problem

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Question 1183232: solve sin(x)=-0.86 on 0≤x<2pi
There are two solutions, A and B, with A < B and A and B in radians to 4 decimal places
A=
B=
how do I do this problem

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!




...(result in radians)
in general:


if


then
Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
solve sin(x)=-0.86 on 0≤x<2pi
There are two solutions, A and B, with A < B and A and B in radians to 4 decimal places
A=
B=
how do I do this problem ?
~~~~~~~~~~~~~~~~~ 

The given equation

    sin(x) = -0.86

has two solutions in the given interval 0 <= x < 2pi.



One solution is in the third quadrant, QIII,

    x = arcsin(0.86) +  radians = 1.03527 + 3.14159 radians = 4.1769 radians.



Second solution is in the fourth quadrant, QIV,

    x =  - arcsin(0.86) radians = 2*3.14159 - 1.03527 radians = 5.2479 radians.



ANSWER.  The two solutions in the given interval are  A = 4.1769 radians  and  B = 5.2479 radians  (rounded as requested).


Solved.

-------------

Ignore the post by  @MathLover1,  since  BOTH her answers are incorrect.



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