What is the sin−1(√32)?
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Answer:
sin
−
1
(
√
3
2
)
=
π
3
(radians)
Explanation:
sin
−
1
(
√
3
2
)
=
θ
XX
means
sin
(
θ
)
=
√
3
2
XXXX
with the restriction that
θ
∈
[
−
π
2
,
π
2
]
The possible triangles with this ratio of
y
to
hypotenuse
(i.e.
sin
) are pictured below:
...but note that only
π
3
falls within the restricted range for
sin
−
1
Step-by-step explanation:
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