Question : If $0°<A<90°$, the value of $\frac{\tan A\ -\ \sec A\ -\ 1}{\tan A\ +\ \sec A\ +\ 1}$ is:

Option 1: $\frac{\sin A-1}{\cos A}$

Option 2: $\frac{1-\sin A}{\cos A}$

Option 3: $\frac{1-\cos A}{\sin A}$

Option 4: $\frac{\sin A+1}{\cos A}$

Question : The value of $\frac{\sin A}{1+\cos A}+\frac{\sin A}{1-\cos A}$ is $(0°<A<90°)$:

Option 1: $2\operatorname{cosec}A$

Option 2: $2 \sec A$

Option 3: $2 \sin A$

Option 4: $2 \cos A$

Question : If $7\sin^2\ \theta+3\cos^2\ \theta=4, (0°<\theta<90°)$, then find the value of $\tan\theta$:

Option 1: $\frac{1}{\sqrt3}$

Option 2: $\frac{1}{2}$

Option 3: $1$

Option 4: $\sqrt3$

Question : If $\sin5\theta = \cos 20° (0°<\theta<90°)$, then the value of $\theta$ is:

Option 1: 4°

Option 2: 22°

Option 3: 10°

Option 4: 14°

Question : If $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$, then the value of $\sin\theta$ is:

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

Option 2: $–\frac{12}{13}$

Option 3: $\frac{6}{13}$

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