Question

The least value of 2sin^2 teta+ 3 cos^2teta is k then k/3 =​

Answer 1

Answer:

Correct option is

B

2

given, 2sin

2

θ+3cos

2

θ

=2−2cos

2

θ+3cos

2

θ

=2+cos

2

θ

Since we know that −1≤cosθ≤1 then 0≤cos

2

θ≤1,

So minimum value of cos

2

θ=0

Hence,minimum value of 2sin

2

θ+3cos

2

θ=2

Answer 2

given, 2sin

2

θ+3cos

2

θ

=2−2cos

2

θ+3cos

2

θ

=2+cos

2

θ

Since we know that −1≤cosθ≤1 then 0≤cos

2

θ≤1,

So minimum value of cos

2

θ=0

Hence,minimum value of 2sin

2

θ+3cos

2

θ=2