Question

If $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$, then which of the following is true?

• A. $A+B=\frac{\pi }{4}$
• B. $A-B=\frac{{\pi }^c}{4}$
• C. $2A+B=\frac{{\pi }^2}{4}$
• D. $A+2=\frac{\pi }{4}$

Answer 1

Answer: (A)

Apply $\tan (A+B)=\frac{\tan A+\tan B}{1-\tan A\tan B}$