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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Compound Angles
If cos 2 x =c...
Question
If cos 2x = cos 60
o
cos 30
o
+ sin 60
o
sin 30
o
then x is equal to
A
15
o
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B
60
o
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C
90
o
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D
30
o
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Solution
The correct option is
A
15
o
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13
Similar questions
Q.
If
sin
(
60
∘
+
30
∘
)
=
sin
60
∘
cos
30
∘
+
sin
30
∘
cos
60
∘
then what is the value of
sin
(
60
∘
+
30
∘
)
.
=?
Q.
Find the value of x in the following :
cos
2
x
=
cos
60
∘
cos
30
∘
+
sin
60
∘
sin
30
∘
Q.
Verify each of the following:
(i) sin 60° cos 30° − cos 60° sin 30° = sin 30°
(ii) cos 60° cos 30° + sin 60° sin 30° = cos 30°
(iii) 2 sin 30° cos 30° = sin 60°
(iv) 2 sin 45° cos 45° = sin 90°
Q.
Find the value of the following
(
i
)
sin
60
∘
cos
30
∘
+
cos
60
∘
sin
30
∘
(
i
i
)
cos
30
∘
cos
60
∘
–
sin
30
∘
sin
60
∘
Q.
cos
60
∘
cos
30
∘
−
sin
60
∘
sin
30
∘
is equal to
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