class 12

Missing

JEE Advanced

$M=[sin_{4}θ1+cos_{2}θ −1−sin_{2}θcos_{4}θ ]=αI+βM_{−1}$

Where $α=α(θ)$ and $β=β(θ)$ ar real numbers and I is an identity matric of $2×2$

if $α_{∗}=$ min of set ${α(θ):θ∈[0.2π)}$

and $β_{∗}=$ min of set ${β(θ):θ∈[0.2π)}$

Then value of $α_{∗}+β_{∗}$ is