Question : Which of the following is a value of $\theta$, when $\cos ^2 \theta-2+\cos \theta=0$?

Option 1: 60°

Option 2: 90°

Option 3: 30°

Option 4: 0°

Question : If A = 60°, B = 30°, then find the value of sin A cos B + cos A sin B.

Option 1: 0

Option 2: 12

Option 3: 13

Option 4: 1

Question : If $0^{\circ} < \theta < 90^{\circ}$ and $2 \sin^{2}\theta +3\cos\theta =3$, then the value of $\theta$ is:

Option 1: 30°

Option 2: 60°

Option 3: 45°

Option 4: 75°

Question : The value of $\cos \ 0°+\cos\ 1°+\cos\ 2°......\cos\ 180°$ is:

Option 1: $0$

Option 2: $1$

Option 3: $\frac{\sqrt3}{2}$

Option 4: $\frac{1}{2}$

Question : If $\tan(A+B)=\sqrt{3}$, and $\tan(A-B)=\frac{1}{\sqrt{3}}$, $\angle A+\angle B<90°$; $A\geq B$ then $\angle A$ is:

Option 1: 90°

Option 2: 30°

Option 3: 45°

Option 4: 60°