Vinod Singh and Shweta Pawar Solutions for Chapter: Factorization Formulae, Exercise 4: Evaluation Test

If $A+B+C=180°,$ then $\sum \tan \frac{A}{2}\tan \frac{B}{2}=$

If $\alpha +\beta -\gamma =\pi ,$ then ${\sin }^2\alpha +{\sin }^2\beta -{\sin }^2\gamma =$

If $\cos \theta +\cos 7\theta +\cos 3\theta +\cos 5\theta =0$, then $\theta$ is

If $\sin A+\sin B=C, \cos A+\cos B=D$, then the value of $\sin \left(A+B\right)=$

If $\alpha ,\beta ,\gamma \in \left[0,\pi \right]$ and $\alpha ,\beta ,\gamma$ are in $\mathrm{A}.\mathrm{P}.$, then $\frac{\sin \alpha -\sin \gamma }{\cos \gamma -\cos \alpha }$ is equal to

If ${\sin }^{3}x\sin 3x=\sum _{m=0}^n{c}_m\cos mx$, where $c_0,c_1,c_{\mathit{2}},\dots , c_n$ are constants and $c_{\mathit{n}}\ne 0,$ then the value of $n$ is

If $\sin B=\frac{1}{5}\sin (2A+B)$, then $\frac{\tan \left(A+B\right)}{\tan A}$ is equal to

If $\sin A+\sin 2A+\sin 3A=\cos A+\cos 2A+\cos 3A$, then $\tan 2A$ is equal to