Question

Show that tan (45°) = 1

Answer 1

Geometric proof in the explanation.

Explanation:

Draw a square. A square has all equal sides and it's 4 angles each measure 90 degrees.

Draw a diagonal which will cut the square into two congruent isosceles right triangles.

So this will give you a 45-45-90 triangle.

I drew the triangle in the picture.

Tangent is opposite over adjacent so we don't need to find the hypotenuse in terms of a ( a is positive).

So tan(45)=a/a=1.