How do you evaluate $tan 45$ ?

Question

15968 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-29T08:08:05

Take a right triangle with equal side of length 1 hence by pythagorean theorem the hypotenuse is $sqrt2$ .

Now $tan45=sin45/cos45=(1/sqrt2)/(1/sqrt2)=1$

In the right triangle above the angles are 90,45,45 because the triangle is isosceles.

Also in the triangle below we have that

sinA=(opposite side)/(Hypotenuse)

cosA=(adjacent side)/(Hypotenuse)

enter image source here

How do you evaluate tan 45tan 45?