Category:

Let's Play

Duration: 15:31

5 views

1

Let \( n \in \mathbf{N}, n1 \) and \( \alpha \in \mathbf{R} \) be such that \( \sin \alpha \neq 0 \), and let \( p(x)=x^{n} \sin \alpha-x \sin n \alpha+\sin (n-1) \alpha \) then
(a) \( \cos \alpha \pm i \sin \alpha \) are zeros of \( p(x) \)
(b) \( p(x) \) is divisible by \( x^{2}-2 x \cos \alpha+1 \)
(c) \( p(x) \) is divisible by \( x^{2}+2 x \cos \alpha+1 \)
(d) sum of all the roots of \( p(x)=0 \) is 0 .
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live