" 25."sin2x sqrt((a^(2)-cos^(2)x))

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))

(sin x)/(sqrt(36-cos^(2)x))

Evaluate: int(sin2x)/(sqrt(cos^(4)x-sin^(2)x+2))dx

Solve the inequality sin2x>sqrt(2)sin^(2)x+(2-sqrt(2))cos^(2)x

sin x+cos x=sqrt(2)

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x