Question : If $2\tan^2A+4\cos^4A=3$, then the possible value of $A$ is:

Option 1: 45°

Option 2: 60°

Option 3: 0°

Option 4: 30°

Question : What is the value of $\left(\tan 10^{\circ} \tan 80^{\circ}+\tan 20^{\circ} \tan 70^{\circ}+\tan 30^{\circ} \tan 60^{\circ}+\tan 40^{\circ} \tan 50^{\circ}\right)$?

Option 1: 4

Option 2: 3

Option 3: 5

Option 4: 2

Question : The value of $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{\tan 70^{\circ}}{\cot 20^{\circ}}-2 \tan 45^{\circ}$ is equal to:

Option 1: 2

Option 2: 0

Option 3: 1

Option 4: 3

Question : If $\cos 20°= m$ and $\cos 70°=n$, then the value of $m^2+n^2$:

Option 1: $1$

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

Option 3: $\frac{1}{\sqrt2}$

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°