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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
evaluate 4sin...
Question
evaluate 4sinx•sin(x+60°)•sin(x+120°)
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Solution
Dear Student,
4
sin
x
.
sin
x
+
60
.
sin
x
+
120
=
4
sin
x
sin
x
.
cos
60
+
cos
x
.
sin
60
.
sin
x
.
cos
120
+
cos
x
.
sin
120
=
4
sin
x
sin
x
.
1
2
+
cos
x
.
3
2
sin
x
.
-
1
2
+
cos
x
.
3
2
=
4
sin
x
3
2
cos
x
+
sin
x
2
3
2
cos
x
-
sin
x
2
=
4
sin
x
3
4
cos
2
x
-
sin
2
x
4
=
4
sin
x
3
4
1
-
sin
2
x
-
sin
2
x
4
=
4
sin
x
3
4
-
3
sin
2
x
4
-
sin
2
x
4
=
4
sin
x
3
4
-
sin
2
x
=
3
sin
x
-
4
sin
3
x
=
sin
3
x
Regards
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