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):
Answer by ikleyn(52852)  (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.
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Ignore the post by @MathLover1, since BOTH her answers are incorrect.
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