1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Domain and Range of Basic Inverse Trigonometric Functions
If cos A=0....
Question
If
cos
A
=
0.5
and
cos
B
=
1
√
2
;find the value of
tan
A
−
tan
B
1
+
tan
A
tan
B
A
2
−
√
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
+
√
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
+
√
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
−
√
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
C
2
−
√
3
cos
A
=
0.5
cos
A
=
cos
30
A
=
30
∘
cos
B
=
1
√
2
cos
B
=
cos
45
B
=
45
∘
Now,
tan
30
−
tan
45
1
+
tan
30
tan
45
=
tan
30
−
tan
45
1
+
tan
30
tan
45
=
1
√
3
−
1
1
+
(
1
√
3
)
(
1
)
=
1
−
√
3
√
3
+
1
=
(
1
−
√
3
)
(
√
3
−
1
)
(
√
3
+
1
)
(
√
3
−
1
)
=
3
+
1
−
2
√
3
3
−
1
=
2
−
√
3
Suggest Corrections
0
Similar questions
Q.
If
cos
A
=
0.5
and
cos
B
=
1
√
2
; find the value of :-
tan
A
−
tan
B
1
+
tan
A
tan
B
.
Q.
If
sin
A
=
√
3
2
and
cos
B
=
√
3
2
, find the value of
tan
A
−
tan
B
1
+
tan
A
tan
B
. is
1
√
m
, m is
Q.
If
cos
A
=
1
2
and
sin
B
=
1
√
2
, find the value of
tan
A
−
tan
B
1
+
tan
A
tan
B
Q.
If
cos
A
=
1
2
and
sin
B
=
1
√
2
, find the value of :
tan
A
−
tan
B
1
+
tan
A
tan
B
Q.
If
s
i
n
A
=
√
3
2
and
c
o
s
B
=
√
3
2
, then the value of :
t
a
n
A
−
t
a
n
B
1
+
t
a
n
A
t
a
n
B
is
1
√
m
=
√
3
3
value of m is
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
Basic Inverse Trigonometric Functions
MATHEMATICS
Watch in App
Explore more
Domain and Range of Basic Inverse Trigonometric Functions
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