Prove that \[ \sum_{k=1}^{n-1}{ }^{n} C_{k}[\cos k x \cdot \cos (n+k) x+\sin (n-k) x \cdot \sin ...

Channel:
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=fYnlvtDhru4



Duration: 4:03
2 views
0


Prove that
\[
\sum_{k=1}^{n-1}{ }^{n} C_{k}[\cos k x \cdot \cos (n+k) x+\sin (n-k) x \cdot \sin (2 n-k) x]=
\]
\( \left(2^{n}-2\right) \cos n x \).
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live




Other Videos By PW Solutions


2022-11-16The answer to each of the following questions is a single digit integer, ranging from 0 to 9. H...
2022-11-16рдСрдХреНрдЬреЗрд▓реЗрдЯреЛ рдореЗрдВ рдЙрдк-рд╕рд╣рд╕рдВрдпреЛрдЬрди рд╕реНрдерд▓реЛрдВ (c0-ordination sites) рдХреА рд╕рдВрдЦреНрдпрд╛ рдмрддрд╛рдЗрдПред
2022-11-16Space wave propagation is used in (A) Radio communication (B) Satellite communication (C) TV com...
2022-11-16Taste and smells are similar in that (A) Both types of stimuli must be dissolved in a body fluid...
2022-11-16Electromagnetic waves carry : (A) negative charge (B) positive charge (C) no charge (D) both pos...
2022-11-16The kinetic energy of electron in the first Bohr orbit of the hydrogen atom is (A) \( -6.5 \math...
2022-11-16A charged particle of mass \( m \) and charge \( q \) is released from rest in an electrie ficld...
2022-11-16What are fossils?
2022-11-16Assertion (A): \( E \). coli having \( 4.6 \times 10^{6} \mathrm{bp} \) completes the process of...
2022-11-16Find all the solutions of this equation \( x^{2}-3\left[\sin \left(x-\frac{\pi}{6}\right)\right]...
2022-11-16Prove that \[ \sum_{k=1}^{n-1}{ }^{n} C_{k}[\cos k x \cdot \cos (n+k) x+\sin (n-k) x \cdot \sin ...
2022-11-16The innervation of heart is primarily meant for (A) initiation of heartbeat (B) regulation of he...
2022-11-16Four real constants \( a, b, A, B \) are given and \( f(\theta)=1-a \cos \theta-b \sin \theta-A ...
2022-11-16What happens when a diamagnetic substance is placed in a varying magnetic field?
2022-11-16Find the distance from the eye at which 'a coin of \( 2 \mathrm{~cm} \) diametet should be held ...
2022-11-16рдорд░реВрд╕реНрдерд▓реАрдп рдкрд╛рджрдкреЛрдВ рдореЗрдВ рд╕рд░реНрд╡рд╛рдзрд┐рдХ рдЕрдиреБрдХреВрд▓рди рдкрд╛рдпрд╛ рдЬрд╛рддрд╛ рд╣реИрдВ : (A) рд╕реНрддрдореНрдн рдореЗрдВ (B) рдЬрдбрд╝ рдореЗрдВ (C) рдкрддреНрддрд┐рдпреЛрдВ рдореЗ...
2022-11-16If \( \frac{\cos \theta_{1}}{\cos \theta_{2}}+\frac{\sin \theta_{1}}{\sin \theta_{2}}=\frac{\cos...
2022-11-16Statement I: As a whole plant growth is indefinite. Statement II: Plants retain the capacity of ...
2022-11-16Work is said to be done by a force acting on a body, provided the body is displaced actually in ...
2022-11-16Express as equivalent fractions with common denominator: \( \frac{m}{n}, \frac{n}{m}, \frac{p}{q} \)
2022-11-16Solve the equations: \[ \frac{x}{6}+\frac{x-8}{4}=1+\frac{x-6}{3} \]