Math, asked by monu4019, 10 months ago

The minimum value of
2 sin²©+3 cos²© is :

(a) o
(b) 3
(c) 2
(d) 1

solve it with explaination ​

Answers

Answered by nikitajain9897
1

Answer:

To find the maximum value of 2sin2θ+3cos2θ , let's break the given expression into:

2sin2θ+2cos2θ+cos2θ . Makes sense?

Now we know, that the value of sin2θ+cos2θ=1

So the given expression can be reduced to:

2(sin2θ+cos2θ)+cos2θ

And further, to:

2+cos2θ

The maximum value of cos2θ is 1.

Hence, the maximum value of the given expression will be:

[math]2 + 1 = 3.[/math]

Also, just for adding to the answer, the minimum value of the expression would be 2, since, the minimum value of cos2θ is 0.

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