The set of values of `lambda in R` such that `sin^2theta+costheta=lambdacos^2theta` holds for some `theta,` is `(-oo,1]` (b) (`-oo,-1]` `varphi` (d) `[-1,oo` )

Explanation

To solve the problem, we need to find the set of values of \( \lambda \in \mathbb{R} \) such that the equation

\[ \sin^2 \theta + \cos \theta = \lambda \cos^2 \theta \]

holds for some \( \theta \).

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