Question

Evaluate sin 60° without using a calculator by using ratios in a reference triangle.

Answer 1

form a right triangle with sides a, b and c so that the hypotenuse (c) is length 2; we fill in the triangle this way because we know that \[a ^{2}+b ^{2}=c ^{2}\]
now, sin 60º=(opposite side of the triangle)/(hypotenuse) = (sqrt3/2)

(this can also be shown by using a right triangle drawn on the unit circle and then multiplying all sides by 2)

Answer 2

so sqrt 3/2 is equal to sin 60degrees

Answer 3

yes, (sqrt3)/2

Answer 4

okay thank you very much ryclark