Vinod Singh and Shweta Pawar Solutions for Chapter: Factorization Formulae, Exercise 2: Critical Thinking

If $A+B+C=\pi$, then $\frac{\cos A}{\sin B\sin C}+\frac{\cos B}{\sin C\sin A}+\frac{\cos C}{\sin A\sin B}=$

If $A,B,C$ are the angles of a triangle, then ${\sin }^{2}A+{\sin }^{2}B+{\sin }^{2}C-2 \cos A \cos B \cos C=$

In a $\Delta ABC$, the value of ${\cos }^{2}A+{\cos }^2\left(A+\frac{\pi }{3}\right)+{\cos }^2\left(A-\frac{\pi }{3}\right)$ is

If $A+B+C=\pi$, then ${\cos }^2\frac{A}{2}+{\cos }^2\frac{B}{2}-{\cos }^2\frac{C}{2}$

In a triangle $ABC$, the value of $\sin A+\sin B+\sin C$ is

If $A+B+C=180°$, then $\frac{\sin 2A+\sin 2B+\sin 2C}{\cos A+\cos B+\cos C-1}=$

If $\alpha +\beta +\gamma =2\pi$, then

If $A,B,C$ are the angles of a triangle, then $\sum \frac{\cot A+\cot B}{\tan A+\tan B}=$