Question

if sinA + sin²A=1
and acos¹²A+bcos⁸A+ccos⁶A-1=0
find value of b+c/a+b​

Answer 1

sinA + sin²A=1

acos¹²A+bcos⁸A+ccos⁶A-1=0

find value of b+c/a+b

(b + c)/(a + b) = (-2 (sqrt(5) - 2) a - sqrt(5) b + 3 b + 2 sqrt(5) + 4)/(2 (a + b)),         (b + c)/(a + b) = (2 (2 + sqrt(5)) a + (3 + sqrt(5)) b - 2 sqrt(5) + 4)/(2 (a + b))