Question

in a right angle a b c right angle at c if tan a = 1 this justify that 2 sin a

Answer 1

Given,

Tan a = 1=AC/BC

AC=BC

And we know that

Tan 45° =1

So a = 45°

AC=1

BC=1

By pythagoras tgeorem

AB^2 = AC^2 + BC ^2

AB^2 = 1+1

AB = √2

Sin a = AC/AB

= 1/√2

2sina

= 2×1/√2

=√2