If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh... VIDEO
If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that
\[
\frac{p+q \omega+r \omega^{2}}{r+p \omega+q \omega^{2}}=\omega^{2}
\]
W
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/
Other Videos By PW Solutions 2023-02-25 Solve \( -12 x30 \), when \( x \) is an integer.
P 2023-02-25 Solve \( 2+23 x99-x \), when
\( x \) is an integer.
P 2023-02-25 Prove that \( \left(\frac{-1+i \sqrt{3}}{2}\right)^{n}+\left(\frac{... 2023-02-25 Find the square roots of the following complex numbers :
\[
-1+2 \s... 2023-02-25 If \( \alpha, \beta \) are complex cube roots of unity other than 1... 2023-02-25 If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh... 2023-02-25 Find the square roots of the following complex numbers :
\[
1+4 \sq... 2023-02-25 If \( p, q \) are complex roots of unity, then prove that \( p^{2}+... 2023-02-25 Find square root of \( -7+24 i \) and verify your result.
W 2023-02-25 Find the square roots of the following complex numbers :
\[
4+4 \sq... 2023-02-25 If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh... 2023-02-25 Prove that:
\[
\sin 5 x=5 \sin x-20 \sin ^{3} x+16 \sin ^{5} x .
\]
W 2023-02-25 Find the square roots of the following complex numbers :
\[
-3-4 i
... 2023-02-25 Prove that \( \cos ^{3} x+\cos ^{3}\left(\frac{2 \pi}{3}+x\right)+\... 2023-02-25 If \( f(x)=\log \left(\frac{1+x}{1-x}\right) \), then show that \( ... 2023-02-25 Find the general solution of the following equation :
\[
\operatorn... 2023-02-25 Find the general solution of the following equation :
\[
\sec x=2
\]
W 2023-02-25 Find the domain and the range of the following function:
\[
\frac{1... 2023-02-25 Find the general solution of the following equation :
\[
\sqrt{2} \... 2023-02-25 Find the domain of the function \( f \) given by \( f(x)=\frac{1}{\... 2023-02-25 The angles of a triangle are in A.P. and the greatest angle is doub...