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 : $\triangle PQR$ is a right-angled triangle. $\angle Q = 90^\circ$, PQ = 12 cm, and QR = 5 cm. What is the value of $\operatorname{cosec}P+\sec R$?

Option 1: $\frac{26}{5}$

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

Option 3: $\frac{18}{5}$

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

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 : $\triangle$XYZ is right angled at Y. If $\cos X=\frac{3}{5}$, then what is the value of $\operatorname{cosec}Z$?

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

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

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

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

Question : If $\sec \theta+\tan \theta=5$, then $\operatorname{sin} \theta=$________.

Option 1: $0$

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

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

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