Question

acos x + b sinx =m and a sinx -b cos x =X find value of a^2 + b^2​

Answer 1

Answer:

a² cos ² x + b² sin² x -2 ab cos x sin x = m²

a² sin ² x + b² cos ² x - 2 ab cos xsin x = n²

adding both equation

a²( sin²x+ cos ²x) + b²( sin²x + cos ²y) = m²+n²

a²+b²= m²+n²( since sin²+cos² = 1)