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Byju's Answer
Standard XII
Mathematics
Monotonicity in an Interval
Convert the f...
Question
Convert the following products into sum or difference. If angles are given in degrees, evaluate from tables 2 cos 5 theta cos 3 theta?
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Solution
2
cos
5
θ
.
cos
3
θ
=
cos
5
θ
+
3
θ
+
cos
5
θ
-
3
θ
=
cos
8
θ
+
cos
2
θ
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Similar questions
Q.
Express each of the following as the sum or difference of sines and cosines:
(i) 2 sin 3θ cos θ
(ii) 2 cos 3θ sin 2θ
(iii) 2 sin 4θ sin 3θ
(iv) 2 cos 7θ cos 3θ
Q.
If 3 cos
2
θ + 7 sin
2
θ = 4, show that cot θ =
3
.
Or, if tan
θ
=
8
15
,
evaluate
(
2
+
2
sinθ
)
(
1
-
sinθ
)
(
1
+
cosθ
)
(
2
-
2
cosθ
)
.
Q.
If
5
cos
θ
=
6
sin
θ
; evaluate:
12
sin
θ
−
3
cos
θ
12
sin
θ
+
3
cos
θ
Q.
If
3
tan
θ
=
4
, evaluate
(
3
sin
θ
+
2
cos
θ
)
/
(
3
sin
θ
−
2
cos
θ
)
.
Q.
If
cos
θ
=
3
5
, then evaluate
sin
θ
−
cot
θ
2
tan
θ
.
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