Find the cosine and the tangent of 60 degrees

We are required to find the cosine and tangent of 60°. Here we use an equilateral triangle whose side is 2 units, the height of the triangle by Pythagorean theorem will be √3 units, the base of the right angle triangle formed by bisection of the base will be 1 unit.

thus:

tan θ=opposite / adjacent

opposite = √3

adjacent=1

hence:

tan 60=√3/1=√3

cos θ=adjacent / hypotenuse

adjacent=1

hypotenuse=2

thus

cos 60=1/2