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Mathematics
Mathematics
Problem
Find the values of the following: 13. If
sin
−
1
x
=
y
\sin ^{-1} x=y
sin
−
1
x
=
y
, then (A)
0
≤
y
≤
π
0 \leq y \leq \pi
0
≤
y
≤
π
(B)
−
π
2
≤
y
≤
π
2
-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}
−
2
π
≤
y
≤
2
π
(C)
0
<
y
<
π
0<y<\pi
0
<
y
<
π
(D)
−
π
2
<
y
<
π
2
-\frac{\pi}{2}<y<\frac{\pi}{2}
−
2
π
<
y
<
2
π
(A)
0
≤
y
≤
π
0 \leq y \leq \pi
0
≤
y
≤
π
(B)
−
π
2
≤
y
≤
π
2
-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}
−
2
π
≤
y
≤
2
π
(C)
0
<
y
<
π
0<y<\pi
0
<
y
<
π
(D)
−
π
2
<
y
<
π
2
-\frac{\pi}{2}<y<\frac{\pi}{2}
−
2
π
<
y
<
2
π
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