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Byju's Answer
Standard XII
Mathematics
Cos(A+B)Cos(A-B)
If cos A = ...
Question
If cos A =
4
5
, cos B =
12
13
,
3
π
2
<
A
,
B
<
2
π
, find the values of the following.
(i) cos (A + B)
(ii) sin (A - B)
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Solution
A and B both lie in the IV quadrant.
=>
s
i
n
A
,
s
i
n
B
are negative
c
o
s
A
=
4
5
=
>
s
i
n
A
=
−
3
5
c
o
s
B
=
12
13
=
>
s
i
n
B
=
−
5
13
(i)
c
o
s
(
A
+
B
)
=
c
o
s
A
.
c
o
s
B
−
s
i
n
A
.
s
i
n
B
=
4
5
.
12
13
−
−
3
5
.
−
5
13
=
33
65
(ii)
s
i
n
(
A
−
B
)
=
s
i
n
A
.
c
o
s
B
−
c
o
s
A
.
s
i
n
B
=
−
3
5
.
12
13
−
4
5
.
−
5
13
=
−
16
65
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Standard XII Mathematics
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