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Tardigrade
Question
Mathematics
The number of integral value(s) in the range of f(x)= sin ( cos -1 (x/2))+ sin ( tan -1 (√4-x2/x)) is (are)
Q. The number of integral value(s) in the range of
f
(
x
)
=
sin
(
cos
−
1
2
x
)
+
sin
(
tan
−
1
x
4
−
x
2
)
is (are)
266
128
Inverse Trigonometric Functions
Report Error
A
0
B
1
C
2
D
3
Solution:
f
(
x
)
=
sin
(
cos
−
1
2
x
)
+
sin
(
tan
−
1
x
4
−
x
2
)
=
{
4
−
x
2
;
0
;
0
<
x
≤
2
−
2
≤
x
<
0
.
∴
Range of
f
is :
[
0
,
2
)