Question 121
Given an angle $\theta$, consider the polynomial
$$
P(x) = \sin (\theta) x^{2} + (\cos (\theta) + \tan (\theta)) x + 1
$$
Given that $P$ only has one real root, find all possible values of $\sin (\theta)$.
$$
P(x) = \sin (\theta) x^{2} + (\cos (\theta) + \tan (\theta)) x + 1
$$
Given that $P$ only has one real root, find all possible values of $\sin (\theta)$.