The minimum value of 2 \sin^2\theta + 3 \cos^2\theta is

RRB Junior Engineer Stage 1 Model Papers 10

Question : 17 of 98

Marks: +1, -0

The minimum value of

2 \sin^2θ + 3 \cos^2θ

Solution:

Given that

2 \sin^2θ + 3 \cos^2θ

=2(1-\cos^2 θ)+3\cos^2 θ=2-2\cos^2 θ+3\cos^2θ

=2+\cos^2 θ

For minimum value

cosθ = 0

Minimum value of

2 \sin^2θ + 3 \cos^2θ=2

Go to Question:

Prev Question

Next Question