The determinant \( \left|\begin{array}{ccc}\cos (\theta+\phi) & -\sin (\theta+\phi) & \cos 2 \ph...
The determinant \( \left|\begin{array}{ccc}\cos (\theta+\phi) & -\sin (\theta+\phi) & \cos 2 \phi \\ \sin \theta & \cos \theta & \sin \phi \\ -\cos \theta & \sin \theta & \cos \phi\end{array}\right| \) is
(a) 0
(b) independent of \( \theta \)
(c) independent of \( \phi \)
(d) independent of \( \theta \) and \( \phi \) both
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-08 | If \( x, y, z \) are A.P, lying between 1 and 9, and \( x 51, y 41 \) and \( z 31 \) are three d... |
| 2023-06-08 | If \( n_{1}, n_{2} \) are integers then \( \left|\begin{array}{cc}n_{1} & n_{2} \\ 1 & 1\end{arr... |
| 2023-06-08 | Let \( f(x)=\left|\begin{array}{ccc}\sec x & x^{2} & x \\ 2 \sin x & x^{3} & 2 x^{2} \\ \tan 3 x... |
| 2023-06-08 | The system of equations
\[
\begin{array}{l}
(a \alpha+b) x+a y+b z=0 \\
(b \alpha+c) x+b y+c z=0... |
| 2023-06-08 | Suppose \( a_{1}, a_{2}, a_{3} \) are in A.P. and \( b_{1}, b_{2}, b_{3} \) are in H.P. and let ... |
| 2023-06-08 | If \( a, b, c \) are non-zeros, then the system of equations
\[
\begin{array}{l}
(\alpha+a) x+\a... |
| 2023-06-08 | If \( f_{r}(x), g_{r}(x), h_{r}(x), r=1,2,3 \) are polynomials in \( x \) such that \( f_{r}(a)=... |
| 2023-06-08 | If \( l_{\mathrm{i}}^{2}+m_{\mathrm{i}}^{2}+n_{\mathrm{i}}^{2}=1 \) and \( l_{\mathrm{i}} l_{\ma... |
| 2023-06-08 | The system of equation \( -2 x+y+z=1, x-2 y+z=-2, x \) \( +y+\lambda z=4 \) will have no solutio... |
| 2023-06-08 | If \( y=\left|\begin{array}{ccc}\sin x & \cos x & \sin x \\ \cos x & -\sin x & \cos x \\ x & 1 &... |
| 2023-06-08 | The determinant \( \left|\begin{array}{ccc}\cos (\theta+\phi) & -\sin (\theta+\phi) & \cos 2 \ph... |
| 2023-06-08 | Find the coefficient of \( \mathrm{x} \) in the expansion of \( \left|\begin{array}{lll}(1+x)^{2... |
| 2023-06-08 | If \( \Delta_{1}=\left|\begin{array}{lll}x & b & b \\ a & x & b \\ a & a & x\end{array}\right| \... |
| 2023-06-08 | Let \( \lim _{x \rightarrow \infty} \frac{f(x)}{x^{2}} \) then find
\[
f(x)=\left|\begin{array}{... |
| 2023-06-08 | If \( \Delta(x)=\left|\begin{array}{ccc}\sin ^{2} x & \log \cos x & \log \tan x \\ n^{2} & 2 n-1... |
| 2023-06-08 | Suppose, \( n, m \) are natural number and
\[
f(x)=\left|\begin{array}{ccc}
1 & (1+x)^{m} & (1+m... |
| 2023-06-08 | If \( \Delta_{r}=\left|\begin{array}{ccc}r-1 & n & 6 \\ (r-1)^{2} & 2 n^{2} & 4 n-2 \\ (r-1)^{3}... |
| 2023-06-08 | If \( D_{1}=\left|\begin{array}{ccc}y^{5} z^{6}\left(z^{3}-y^{3}\right) & x^{4} z^{6}\left(x^{3}... |
| 2023-06-08 | If \( D \) is a determinant of order three and \( \Delta \) is a determinant formed by the cofac... |
| 2023-06-08 | If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then ... |
| 2023-06-08 | Let \( \Delta=\left|\begin{array}{ccc}1 & x & x^{2} \\ x^{2} & 1 & x \\ x & x^{2} & 1\end{array}... |
0