The minimum value of
2 sin²©+3 cos²© is :
(a) o
(b) 3
(c) 2
(d) 1
solve it with explaination
Answers
Answered by
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.
Similar questions