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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Allied Angles
The value of ...
Question
The value of
sin
420
∘
cos
390
∘
−
cos
(
−
660
∘
)
sin
330
∘
is
Open in App
Solution
As we know that
2
π
=
360
°
So
sin
420
∘
cos
390
∘
−
cos
(
−
660
∘
)
sin
330
∘
=
sin
420
∘
cos
390
∘
−
cos
(
660
∘
)
sin
330
∘
=
sin
(
2
π
+
60
∘
)
cos
(
2
π
+
30
∘
)
−
cos
(
7
π
2
+
30
∘
)
sin
(
3
π
2
+
60
∘
)
=
sin
60
∘
cos
30
∘
−
sin
30
∘
(
−
cos
60
∘
)
=
√
3
2
⋅
√
3
2
+
1
2
⋅
1
2
=
1
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Trigonometric Ratios of Allied Angles
Standard XII Mathematics
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