Question

the least value of 2sin²theta+3cos²theta is​

Answer 1

Step-by-step explanation:

Let

y=2sin^2 θ + 3cos^2 θ

⇒

y=2sin^2 θ + 2cos^2 θ + cos^2 θ

⇒y=2(sin^2 θ + cos^2 θ) + cos^2 θ

⇒y=2 + cos^2 θ

So y will be minimum when

cos^2 θ=0