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Byju's Answer
Standard IX
Mathematics
Values of Trigonometric Ratios
If x=cos-1c...
Question
If
x
=
cos
−
1
(
cos
4
)
:
y
=
sin
−
1
(
sin
3
)
then which of the following holds?
A
x
−
y
=
1
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B
x
+
y
+
1
=
0
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C
x
+
2
y
=
2
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D
tan
(
x
+
y
)
=
−
tan
7
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Solution
The correct option is
D
tan
(
x
+
y
)
=
−
tan
7
Given,
x
=
cos
−
1
(
cos
4
)
=
2
π
−
4
and
y
=
sin
−
1
(
sin
3
)
=
π
−
3
tan
(
x
+
y
)
=
tan
(
3
π
−
4
−
3
)
=
tan
(
3
π
−
7
)
=
−
tan
(
7
)
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0
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