Question : In a right-angled $\triangle PQR$, PQ = 5 cm, QR = 13 cm and $\angle P=90^{\circ}$. Find the value of $\tan Q-\tan R$.

Option 1: $\frac{5}{14}$

Option 2: $\frac{119}{60}$

Option 3: $\frac{60}{119}$

Option 4: $\frac{14}{5}$

Question : $\triangle $KLM is a right-angled triangle. $\angle$M = 90$^{\circ}$, KM = 12 cm and LM = 5 cm. What is the value of $\sec$ L?

Option 1: $\frac{13}{12}$

Option 2: $\frac{5}{12}$

Option 3: $\frac{12}{5}$

Option 4: $\frac{13}{5}$

Question : $\triangle PQR$ is right angled at Q. If PQ = 12 cm and PR = 13 cm, find $\tan P+\cot R$.

Option 1: $\frac{9}{10}$

Option 2: $0$

Option 3: $\frac{10}{12}$

Option 4: $\frac{12}{10}$

Question : If in a right-angled $\triangle P Q R$, $\tan Q=\frac{5}{12}$, then what is the value of $\cos Q$?

Option 1: $\frac{12}{5}$

Option 2: $\frac{13}{5}$

Option 3: $\frac{12}{13}$

Option 4: $\frac{5}{13}$

Question : Let ABC be a triangle right-angled at B. If $\tan A = \frac{12}{5}$, then find the values of $\operatorname{cosec A}$ and $\sec A$, respectively.

Option 1: $\frac{13}{10}, \frac{5}{13}$

Option 2: $\frac{13}{12},\frac{13}{5}$

Option 3: $\frac{10}{13}, \frac{5}{13}$

Option 4: $\frac{12}{13}, \frac{5}{13}$