Question

Triangle ABC is an isosceles right triangle with right angle C. Which of the following statements is true?
sinA> sinB
sinA< sinB
sinA = sinB

Answer 1

sin A = sin B If the triangle is isosceles, both of the acute angles are 45 degrees. So all the functions of those angles are equal.

Answer 2

As marked in the drawing (and given by the definition of isosceles) the sides are equal therefore a = b which proves that sin A = sin B.