evaluate and choose the correct option: 2cos2 60 degree +3sin2 45 degree
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Answer:
We know that,
sin45
∘
=1/
2
,cos60
∘
=1/2
sin30
∘
=1/2 and cos90
∘
=0
Now,
2cos
2
60
∘
+3sin
2
45
∘
−3sin
2
30
∘
+2cos
2
90
∘
=2×(
2
1
)
2
+3×(
2
1
)
2
−3×(
2
1
)
2
+2(0)
2
=
2
1
+
2
3
−
4
3
⇒
4
2+6−3
=
4
5
.
Step-by-step explanation:
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