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Byju's Answer
Standard XII
Mathematics
Principal Solution of Trigonometric Equation
If sin-1 x ...
Question
If
sin
−
1
x
+
sin
−
1
y
=
2
π
3
, then find the value of
cos
−
1
x
+
cos
−
1
y
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Solution
sin
−
1
x
+
sin
−
1
y
=
2
π
3
⇒
π
−
cos
−
1
x
−
cos
−
1
y
=
2
π
3
, [Using
sin
−
1
x
+
cos
−
1
x
=
π
2
]
∴
cos
−
1
x
+
cos
−
1
y
=
π
3
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1
Similar questions
Q.
If
sin
−
1
x
+
sin
−
1
y
=
2
π
3
,
then
cos
−
1
x
+
cos
−
1
y
=
Q.
If
sin
−
1
x
+
sin
−
1
y
=
2
π
3
, then
cos
−
1
x
+
cos
−
1
y
=
Q.
sin
−
1
x
−
sin
−
1
y
=
2
π
3
;
cos
−
1
x
−
cos
−
1
=
π
3
.
Q.
If
sin
−
1
x
+
sin
−
1
y
=
2
π
3
and
cos
−
1
x
−
cos
−
1
y
=
π
3
, where
x
∈
(
0
,
1
2
)
, then the number of value(s) of
y
satisfying the equation is
Q.
Solve for
x
and
y
;
sin
−
1
x
+
sin
−
1
y
=
2
π
3
and
cos
−
1
x
−
cos
−
1
y
=
π
3
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