Question : The value of tan 25° tan 35° tan 45° tan 55° tan 65° is:

Option 1: $2$

Option 2: $1$

Option 3: $\sqrt{3}$

Option 4: $0$

Question : Using trigonometric formulas, find the value of $(\frac{\sin (x-y)}{\sin (x+y)})(\frac{\tan x+\tan y}{\tan x-\tan y})$

Option 1: –2

Option 2: 2

Option 3: 0

Option 4: 1

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 $7\sin^2\ \theta+3\cos^2\ \theta=4, (0°<\theta<90°)$, then find the value of $\tan\theta$:

Option 1: $\frac{1}{\sqrt3}$

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

Option 3: $1$

Option 4: $\sqrt3$

Question : Using $\tan (A-B)=\frac{\tan A-\tan B}{1+\tan A \tan B}$, find the value of $\tan 15°$.

Option 1: $\sqrt{3}+1$

Option 2: $\sqrt{3}-1$

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

Option 4: $2+\sqrt{3}$