Find the general solutions of folowing equations
sinx=1/3
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Answer:
sin(x)=1/3
Step-by-step explanation:
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Trigonometry Examples
Popular Problems Trigonometry Solve for ? sin(x)=1/3
sin
(
x
)
=
1
3
Take the inverse sine of both sides of the equation to extract
x
from inside the sine.
x
=
arcsin
(
1
3
)
Evaluate
arcsin
(
1
3
)
.
x
=
0.3398369
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from
π
to find the solution in the second quadrant.
x
=
(
3.14159265
)
−
0.3398369
Simplify the expression to find the second solution.
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x
=
2.80175574
Find the period.
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2
π
The period of the
sin
(
x
)
function is
2
π
so values will repeat every
2
π
radians in both directions.
x
=
0.3398369
+
2
π
n
,
2.80175574
+
2
π
n
, for any integer
n
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