Trigonometry Question

Question

3) If sin (75°) = w + √x/y√z). Find the values of w,x,y, and z.

Answer 1

sin(75) = sin(45+30) = sin45cos30 + sin30cos45 = sqr2/2(1/2) + sqr3/2(sqr2/2) = sqr2/4 + sqr3/2sqr2

sin75 = (sqr2)/4 + (sqr3)/2sqr2

w= sqr2/4, x =3, y=2, z=2,