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 $\theta>0$ be an acute angle, then the value of $\theta$ in degrees satisfying $\frac{\cos^2\theta-3 \cos\theta+2}{\sin^2\theta}=1$ is:

Option 1: 90°

Option 2: 30°

Option 3: 45°

Option 4: 60°

Question : If $0°<\theta<90°$, the value of $\sin\theta+\cos\theta$ is:

Option 1: Equal to 1

Option 2: Greater than 1

Option 3: Less than 1

Option 4: Equal to 2

Question : If $5 \sin^2 A+3 \cos^2 A=4$, $0<A<90°$, then what is the value of $\tan A$?

Option 1: 0

Option 2: 3

Option 3: 1

Option 4: 2

Question : If $\sin ^2 \theta-3 \sin \theta+2=0$, then find the value of $\theta\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)$.

Option 1: 45°

Option 2: 0°

Option 3: 60°

Option 4: 90°