Question

If in a triangle ABC, b = 3c and C – B = 90⁰, then tanB equals (The symbols have their usual meanings)

• A. 2 + √3
• B. 2 – √3
• C. 3
• D. 1/3

Answer 1

Answer: (C)

3

Answer 2

Q $\frac{b}{\sin B} = \frac{c}{\sin C}$⇒ $\frac{\sin B}{\sin C}$ = $\frac{b}{c}$

⇒ $\frac{\sin B}{\sin(90º + B)}$ = $\frac{b}{c}$

⇒ tan B = $\frac{b}{c}$ = 3