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Byju's Answer
Standard XIII
Mathematics
Trigonometric Functions
sin -1sin2 π3...
Question
sin
−
1
(
sin
2
π
3
)
+
cos
−
1
(
cos
7
π
6
)
+
tan
−
1
(
tan
3
π
4
)
is equal to:
A
17
π
12
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B
11
π
12
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C
31
π
12
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D
−
3
π
4
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Solution
The correct option is
B
11
π
12
sin
−
1
(
√
3
2
)
+
cos
−
1
(
−
√
3
2
)
+
tan
−
1
(
−
1
)
=
π
3
+
5
π
6
−
π
4
=
4
π
+
10
π
−
3
π
12
=
11
π
12
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0
Similar questions
Q.
The value of
cos
−
1
(
cos
7
π
6
)
is equal to
Q.
If 4 tan θ = 3, then
4
sin
θ
-
cos
θ
4
sin
θ
+
cos
θ
is equal to _________.
Q.
sin
−
1
(
sin
2
π
3
)
+
cos
−
1
(
cos
7
π
6
)
+
tan
−
1
(
tan
3
π
4
)
is equal to:
Q.
Evaluate the following:
i.
sin
−
1
(
2
π
4
)
ii.
cos
−
1
(
cos
7
π
6
)
iii.
tan
−
1
(
tan
2
π
3
)
iv.
cos
(
cos
−
1
(
√
3
2
)
+
π
6
)
Q.
Consider the following statement :
(i)
s
i
n
−
1
(
s
i
n
2
π
3
)
=
2
π
3
(ii)
t
a
n
−
1
(
t
a
n
2
π
3
)
=
−
π
3
(iii)
c
o
s
−
1
(
c
o
s
2
π
3
)
=
2
π
3
(iv)
s
e
c
−
1
(
s
e
c
5
π
4
)
=
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4
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