Question

If tan a =
$\sqrt{3}$
and tan B =
$\frac{1}{ \sqrt{3} }$
,0<a, ß < 90°, find the value of cot (a + b).
​

Answer 1

Answer:

• 1

Step-by-step explanation:

tan a =$\sqrt{3}$

and tan B = $\dfrac{1}{ \sqrt{3} }$

,0<a, ß < 90°,

so,

tan a = $\sqrt{3}$=tan 60

• a=60

tan B =$\dfrac{1}{\sqrt{3} }$=tan 30

• b=30

so,a+b=90

A.T.Q,

cot (a+b)

• cot 90=1