Question : If $A + B = C$, then $\tan A \tan B \tan C =$?

Option 1: $\tan C + \tan A − \tan B$

Option 2: $\tan C + \tan A + \tan B$

Option 3: $\tan A − \tan B − \tan C$

Option 4: $\tan C − \tan A − \tan B$

Question : If $\tan A-\tan B-\tan C=\tan A \tan B \tan C$, what is the value of A in terms of B and C?

Option 1: $A = B + C$

Option 2: $A = 2 B - 2C$

Option 3: $A = B - C$

Option 4: $A=\frac{B-C}{2}$

Question : If $x+y+z = 9$, then the value of $(x−4)^3+(y−2)^3+(z−3)^3−3(x−4)(y−2)(z−3)$ is:

Option 1: 6

Option 2: 9

Option 3: 0

Option 4: 1

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: $2+\sqrt{3}$

Question : If $\cos^2x+\cos^4x=1$, then $\tan^2x+\tan^4x$?

Option 1: $0$

Option 2: $1$

Option 3: $2 \tan^2x$

Option 4: $2\tan^4x$

Question : If $\sec A=\frac{5}{4}$, then the value of $\frac{\tan A}{1+\tan ^2 A}-\frac{\sin A}{\sec A}$ is:

Option 1: 2

Option 2: 1

Option 3: 0

Option 4: 3