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Byju's Answer
Standard IX
History
Machiavelli
cos -1cos -5+...
Question
cos
−
1
(
cos
(
−
5
)
)
+
sin
−
1
(
sin
(
6
)
)
−
tan
−
1
(
tan
(
12
)
)
is equal to
(The inverse trigonometric functions take the principal values)
A
3
π
+
1
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B
3
π
−
11
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C
4
π
−
9
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D
4
π
−
11
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Solution
The correct option is
D
4
π
−
11
cos
−
1
(
cos
(
−
5
)
)
=
−
5
+
2
π
=
a
(say)
sin
−
1
(
sin
6
)
=
6
−
2
π
=
b
(say)
tan
−
1
(
tan
12
)
=
12
−
4
π
=
c
(say)
∴
a
+
b
−
c
=
2
π
−
5
+
6
−
2
π
−
12
+
4
π
=
4
π
−
11
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cos
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Q.
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