Question : If $\cot B=\frac{15}{8}$, where $B$ is an acute angle, what is the value of $\sec B+\tan B$?

Option 1: $\frac{4}{5}$

Option 2: $\frac{5}{3}$

Option 3: $\frac{5}{4}$

Option 4: $\frac{3}{5}$

Question : If 3 cot A = 4 and A is an acute angle, then find the value of sec A.

Option 1: $\frac{3}{4}$

Option 2: $\frac{5}{4}$

Option 3: $\frac{4}{5}$

Option 4: $\frac{5}{3}$

Question : If $\sec A=\frac{17}{15}$, then what is the value of $\cot A$?

Option 1: $\frac{15}{21}$

Option 2: $\frac{15}{7}$

Option 3: $\frac{8}{15}$

Option 4: $\frac{15}{8}$

Question : If $\theta$ is an acute angle and $\cos\theta=\frac{11}{17}$, what is the value of $\tan\theta$?

Option 1: $\frac{4 \sqrt{10}}{11}$

Option 2: $\frac{13}{11}$

Option 3: $\frac{2 \sqrt{42}}{11}$

Option 4: $\frac{2 \sqrt{42}}{17}$

Question : If $\theta$ is an acute angle and $\sin \theta \cos \theta=2 \cos ^3 \theta-\frac{1}{4} \cos \theta$, then the value of $\sin \theta$ is:

Option 1: $\frac{\sqrt{15}-1}{8}$

Option 2: $\frac{\sqrt{15}-1}{4}$

Option 3: $\frac{\sqrt{15}+1}{4}$

Option 4: $\frac{\sqrt{15}-1}{2}$