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Byju's Answer
Standard XII
Mathematics
Point Slope Form of a Line
The angle mad...
Question
The angle made by the vector
→
A
=
2
^
i
+
3
^
j
with y-axis is:
A
t
a
n
−
1
(
3
2
)
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B
t
a
n
−
1
(
2
3
)
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C
sin
−
1
(
2
3
)
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D
cos
−
1
(
3
2
)
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Solution
The correct option is
B
t
a
n
−
1
(
2
3
)
Angle with x - axis =
t
a
n
−
1
(
3
/
2
)
Hence, Angle with y - axis =
90
−
t
a
n
−
1
(
3
/
2
)
=
t
a
n
−
1
(
2
/
3
)
Suggest Corrections
0
Similar questions
Q.
Given vector
→
A
=
2
^
i
+
3
^
j
,
the angle between
→
A
and y-axis is
Q.
Evaluate each of the following:
i
tan
-
1
1
+
cos
-
1
-
1
2
+
sin
-
1
-
1
2
(ii)
tan
-
1
-
1
3
+
tan
-
1
-
3
+
tan
-
1
sin
-
π
2
(iii)
tan
-
1
tan
5
π
6
+
cos
-
1
cos
13
π
6
Q.
Prove that:
(i)
tan
4
π
-
cos
3
π
2
-
sin
5
π
6
cos
2
π
3
=
1
4
(ii)
sin
13
π
3
sin
8
π
3
+
cos
2
π
3
sin
5
π
6
=
1
2
(iii)
sin
13
π
3
sin
2
π
3
+
cos
4
π
3
sin
13
π
6
=
1
2
(iv)
sin
10
π
3
cos
13
π
6
+
cos
8
π
3
sin
5
π
6
=
-
1
(v)
tan
5
π
4
cot
9
π
4
+
tan
17
π
4
cot
15
π
4
=
0
Q.
Evaluate the following:
(i)
tan
2
tan
-
1
1
5
-
π
4
(ii)
tan
1
2
cos
-
1
5
3
(iii)
sin
1
2
cos
-
1
4
5
(iv)
sin
2
tan
-
1
2
3
+
cos
tan
-
1
3
Q.
∫
sin
2
x
cos
4
x
d
x
=
(a)
1
3
tan
2
x
+
C
(b)
1
2
tan
2
x
+
C
(c)
1
3
tan
3
x
+
C
(d) none of these
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