Q. If $tan (α + β) = 3, tan (α - β) = 1$ then $tan 6 β$

6584 223 Trigonometric Functions Report Error

A

-1

13%

B

0

24%

C

1

49%

D

2

14%

Solution:

Let $(α + β) = 6 0^{\circ}$
$(α - β) = 4 5^{\circ}$
$\Rightarrow 2 β = 1 5^{\circ}$
$\Rightarrow 6 β = 4 5^{\circ}$