Question

8. If tan a = m/m+1 and tan ß = 1/2m+1 then prove that a + ß = π/4​

Answer 1

Step-by-step explanation:

$\tan(a) = m \div m + 1$

$\tan(b) = 1 \div 2m + 1$

and as we know that

$\tan(a + b) = (tan(a) + \tan(b) ) \div (1 - \tan(a) \tan(b) )$

So putting the values in the above formula,

we will find that

$\tan(a + b) = 1$

so a+b= pi/4