Question

if tan5a=1 where a lies between 0 and 90 degree, then value of a equals

Answer 1

Given:

tan5a=1

To find:

The value of a

Solution:

we have given that:

• tan5a=1

as we know that the value of tan is 1 at the angle of 45°

so the given expression can be expressed as :

• tan5a=tan45°

on comparing we get

• 5a = 45°
• a = 45/5
• a = 9°

The value of the angle 'a' is 9°