Question

Triangle ABC is an isosceles right triangle with right angle C. Which of the following statements is true?
1.sinA>sinB
2.sinA
3.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 eqAs 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.