If $\sin \alpha=p$, then the quadratic equation whose roots are $ an \frac{\alpha}{2}, \cot \frac{\alpha}{2}$ is

Question

If $\sin \alpha=p$, then the quadratic equation whose roots are $	an \frac{\alpha}{2}, \cot \frac{\alpha}{2}$ is

Aicharya · Accepted Answer

and product of roots $=	an \frac{\alpha}{2} 	imes \cot \frac{\alpha}{2}=1$ So, equation required quadratic equation $ x^2-\frac{2}{p} x+1=0 \Rightarrow p x^2-2 x+p=0 $ Hence, option (a) is correct

If $\sin \alpha=p$, then the quadratic equation whose roots are $\tan \frac{\alpha}{2}, \cot…

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