Find all values of \( k, x \) and \( y \) for which the system of equations satisfies
\[
\begin{... VIDEO
Find all values of \( k, x \) and \( y \) for which the system of equations satisfies
\[
\begin{aligned}
\sin x \cos 2 y & =\left(k^{2}-1\right)^{2}+1 \\
-\cos x \sin 2 y & =k+1
\end{aligned}
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-19 Let \( S=\left\{\theta \in[-\pi, \pi]-\left\{ \pm \frac{\pi}{2}\right\}: \sin \theta \tan \theta... 2023-06-19 Let
\[
S=\left\{\theta \in\left(0, \frac{\pi}{2}\right) ; \sum_{m=1}^{9} \sec \left(\theta+(m-1)... 2023-06-19 The number of solutions of \( |\cos x|=\sin x \), such that \( -4 \pi \leq x \leq 4 \pi \) is:
(... 2023-06-19 The number of elements in the set
\[
S=\left\{x \in \mathbb{R}: 2 \cos \left(\frac{x^{2}+x}{6}\r... 2023-06-19 Prove that \( 2^{\sin x}+2^{\cos x} \geq 2^{1-\frac{1}{\sqrt{2}}} \) for all real \( x \). 2023-06-19 Solve the system of equations,
\[
\begin{array}{l}
\sin x \sin y=\sqrt{3} / 4 \\
\cos x \cos y=\... 2023-06-19 Find the general solution of the equation
\[
\frac{1+\sin x+\sin ^{2} x+\sin ^{3} x+\ldots \ldot... 2023-06-19 Solve for \( x:|\cos x|^{\sin ^{2} x-\frac{3}{2} \sin x+\frac{1}{2}}=1 \) 2023-06-19 Find the sum of all the roots of the equation, \( \sin \sqrt{x}=-1 \), which are less than \( 10... 2023-06-19 Find the value of \( \alpha \) and \( \beta, 0\alpha, \beta\frac{\pi}{2} \); satisfying the foll... 2023-06-19 Find all values of \( k, x \) and \( y \) for which the system of equations satisfies
\[
\begin{... 2023-06-19 Solve the equation
\[
\cos ^{2}\left[\frac{\pi}{4}\left(\sin x+\sqrt{2} \cos ^{2} x\right)\right... 2023-06-19 Find the general solution set of the equation \( \log _{\tan x}\left(2+4 \cos ^{2} x\right)=2 \). 2023-06-19 Solve the equation for \( x, 5^{\frac{1}{2}}+5^{\frac{1}{2}+\log _{5}(\sin x)}=15^{\frac{1}{2}+\... 2023-06-19 The complete set of values of \( x \) satisfying \( \frac{2 \sin 6 x}{\sin x-1}0 \) and \( \sec ... 2023-06-19 Find the number of solutions of the equation \( 2 \sin ^{2} x+\sin ^{2} 2 x \) \( =2 ; \sin 2 x+... 2023-06-19 The number of values of \( x \) satisfying the equation,
\[
2^{\tan \left(x-\frac{\pi}{4}\right)... 2023-06-19 If \( A \) and \( B \) are acute +ve angles satisfying the equations \( 3 \sin ^{2} A+2 \sin ^{2... 2023-06-19 If the sum of all values of \( \theta, 0 \leq \theta \leq 3 \pi \) satisfying the equation \( (8... 2023-06-19 The number of ordered pair \( (x, y) \) satisfying the equation \( \sin x+\sin y=\sin (x+y) \) a... 2023-06-19 If \( \cos ^{2} \theta-2 \cos \theta-1=0 \) is to be satisfied for exactly 4 distinct values of ...