1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Properties Derived from Trigonometric Identities
Find the valu...
Question
Find the value of
cos
−
1
(
cos
2
π
3
)
+
sin
−
1
(
sin
2
π
3
)
.
Open in App
Solution
Given,
cos
−
1
(
cos
2
π
3
)
+
sin
−
1
(
sin
2
π
3
)
=
cos
−
1
(
cos
(
π
−
π
3
)
)
+
sin
−
1
(
sin
(
π
−
π
3
)
)
=
cos
−
1
(
−
cos
(
π
3
)
)
+
sin
−
1
(
sin
π
3
)
=
cos
−
1
(
−
1
2
)
+
sin
−
1
(
√
3
2
)
=
π
−
π
3
+
π
3
=
π
Suggest Corrections
0
Similar questions
Q.
The principle value of
cos
−
1
(
cos
2
π
3
)
+
sin
−
1
(
sin
2
π
3
)
is:
Q.
What is the principal value of
cos
−
1
(
cos
2
π
3
)
+
sin
−
1
(
sin
2
π
3
)
Q.
Using principal values, evaluate the following
cos
−
1
(
cos
2
π
3
)
+
sin
−
1
(
sin
2
π
3
)
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
)
=
3
π
4
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
)
=
3
π
4
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Property 5
MATHEMATICS
Watch in App
Explore more
Properties Derived from Trigonometric Identities
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app