Question : $\cos^3 60°-\cos^3 240°-\cos^3 360°=$ _________.

Option 1: $-\frac{3}{4}$

Option 2: $-\frac{7}{5}$ 

Option 3: $-\frac{3}{5}$

Option 4: $-\frac{9}{7}$

Question : The value of $\operatorname{cosec}^{2}60°+\sec^{2}60°– \cot^{2}60°+\tan^{2}30°$ will be:

Option 1: $5$

Option 2: $5\frac{1}{2}$

Option 3: $5\frac{1}{3}$

Option 4: $5\frac{2}{3}$

Question : If $r\sin\theta=\frac{7}{2}$ and $r\cos\theta=\frac{7\sqrt3}{2}$, then the value of $\theta$ is:

Option 1: 30°

Option 2: 45°

Option 3: 60°

Option 4: 75°

Question : The value of $\frac{2 \tan 60^{\circ}}{1+\tan ^2 60^{\circ}}$ is:

Option 1: $\cos 60°$

Option 2: $\tan 60°$

Option 3: $\sin 60°$

Option 4: $\sin 30°$

Question : If $\tan x = \frac{7}{5}$, the value of $\frac{9 \sin  x – \frac{42}{5} \cos x}{15 \sin x + 21 \cos x}$ is:

Option 1: 0

Option 2: 1

Option 3: 0.1

Option 4: 0.5

Question : If $2\cot x=5$, then what is $\frac{2 \cos x-\sin x}{2 \cos x+\sin x}$ equal to?

Option 1: $\frac{3}{4}$

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

Option 3: $\frac{5}{6}$

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