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Byju's Answer
Standard XII
Mathematics
Range
Find the prin...
Question
Find the principal solutions of the equation
sin
x
=
√
3
2
.
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Solution
Given:
sin
x
=
√
3
2
We know:
sin
π
3
=
√
3
2
Here
sin
x
is positive.
sin
x
is positive in
1
s
t
and
2
n
d
quadrant.
Value in
1
s
t
quadrant
=
π
3
Value in
2
n
d
quarant
=
π
−
π
3
=
2
π
3
∴
Principle solutions are
x
=
π
3
and
2
π
3
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