Question : If $7 \cot P = 24$, then find $\sin P$.

Option 1: $\frac{625}{7}$

Option 2: $\frac{24}{25}$

Option 3: $\frac{49}{625}$

Option 4: $\frac{7}{25}$

Question : If $8 \cot A = 7$, then find $\sin A$.

Option 1: $\frac{7}{15}$

Option 2: $\frac{8}{\sqrt{113}}$

Option 3: $\frac{7}{8}$

Option 4: $\frac{8}{7}$

Question : If $\tan \theta+\sec \theta=7, \theta$ being acute, then the value of $5 \sin \theta$ is:

Option 1: $\frac{25}{24}$

Option 2: $\frac{24}{25}$

Option 3: $\frac{1}{24}$

Option 4: $\frac{24}{5}$

Question : If $(\cos q+\sin q)=\frac{31}{25}$, then what will be the value of $\cos^2 q$?

Option 1: $\frac{522}{625}$

Option 2: $\frac{512}{625}$

Option 3: $\frac{513}{625}$

Option 4: $\frac{576}{625}$

Question : If $\frac{21\cos A+3\sin A}{3\cos A+4\sin A}=2$, then find the value of cot A.

Option 1: $\frac{9}{11}$

Option 2: $\frac{11}{9}$

Option 3: $\frac{1}{3}$

Option 4: $\frac{11}{10}$

Question : If $\tan A=\frac{3}{8}$, then the value of $\frac{3 \sin A+2 \cos A}{3 \sin A-2 \cos A}$ is:

Option 1: $-\frac{13}{25}$

Option 2: $-\frac{25}{7}$

Option 3: $\frac{25}{8}$

Option 4: $\frac{13}{21}$