Question : What is the value of $\sin 28° \sin 35° \sin 45° \sec 62° \sec 55°$?

Option 1: $2$

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

Option 3: $\sqrt{2}$

Option 4: $\frac{1}2$

Question : What is the value of $\cos ^2 15°?$

Option 1: $(2+\sqrt{3})$

Option 2: $\frac{(2+\sqrt{3})}{4}$

Option 3: $\frac{(2+\sqrt{3})}{2}$

Option 4: $\frac{(1+\sqrt{3})}{2}$

Question : If $2 \cot \theta = 3$, find the value of $\frac{\sqrt{13} \sin \theta – 3 \tan \theta}{3 \tan \theta + \sqrt{13} \cos \theta}$

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

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

Option 3: 0

Option 4: $\frac{2}{3}$

Question : The value of $\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$ is:

Option 1: $\sec\theta+\tan \theta$

Option 2: $\operatorname{cosec} \theta-\cot \theta$

Option 3: $\operatorname{cosec} \theta+\cot \theta$

Option 4: $\sec\theta-\tan \theta$

Question : What is the value of $\operatorname{cos}\left(-\frac{17 \pi}{3}\right)$?

Option 1: $1$

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

Option 3: $\frac{1}{2}$

Option 4: $0$