What is the value tan45?

Tan(45) = Sin(45) / Cos(45)

Sin(45) = sqrt(2) / 2

Cos(45) = sqrt)2)/2

Hence Tan(45) = [sqrt(2) / 2] / [sqrt(2)/2]

Division of fractions.

[sqrt(2) / 2] / [sqrt(2)/2] =>

sqrt(2) /2 X 2/ sqrt(2)

Cancel down by 'sqrt(2) ;

1/2 X 2/1

Cancel down by '2'

1/1 X 1/1 = 1/1 = 1

Hence Tan(45) = 1 .