What is the value of the expression cot230°−cos260°cot245°+sin260°?
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Answer:
3
4
cot
2
30°+3sin
2
60°−2cosec
2
60°+
4
3
tan
2
30°
=
3
4
(
3
)
2
+3×(
2
3
)
2
−2×(
3
2
)
2
+
4
3
×(
3
1
)
2
=
3
4
×3+3×
4
3
−2×
3
4
+
4
3
×
3
1
=4+
4
9
−
3
8
+
4
1
=
12
48+27−32+3
=
12
78−32
=
12
46
=
6
23
=3.8333
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