Question

if sin anb cos a are the roots of ax2 bx +c_0 , then find the relation among a, b, and c

Answer 1

a x² + b x + c = 0
Roots are:   sin a   and  cos a

sum = sin a + cos a = -b/a    --(1)
prod:   sin a cos a = c/a    --- (2)

(1)^2 - 2 * (2):  sin²a + cos²a = 1 = b²/a² - 2 c/a = (b² - 2ac)/ a²

so   b² - 2 a c = a²
       c = (b² - a²)/2a