Question

If y = cos^–1{7/2(1 + cos2x) + √(sin²x – 48cos²x) sinx} for all x in (0, π/2) then prove that dy/dx = 1 +  sinx/√(sin²x – 48cos²x)

Answer 1

y = cos^–1{7/2(1 + cos2x) + √(sin²x – 48cos²x) sinx}