R S Aggarwal Solutions for Exercise 1: EXERCISE

If $5\cot \theta =4$, then $\left(\frac{5\sin \theta -3\cos \theta }{\sin \theta +2\cos \theta }\right)=?$

If $\tan \theta +\cot \theta =2$, then $\sin \theta =?$

If $0°<\theta <90°$ and $(\sin \theta +cosec\theta )=\frac{5}{2}$, then $\theta =?$

The general solution of the equation $\sin \theta =\sin \alpha$ is 

The general solution of the equation $\cos \theta =\cos \alpha$ is 

The general solution of the equation $\tan \theta =\tan \alpha$ is 

The general solution of the equation ${\sin }^2 \theta ={\sin }^2 \alpha$ is 

The general solution of the equation ${\cos }^2 \theta ={\cos }^2 \alpha$ is