Formulae Part-4 in Inverse Trigonometric Functions By Utkarsh Yadav #education #ncertmathsolution

Here are the descriptions for double and triple trigonometry ratios in inverse trigonometry functions: Double Trigonometry Ratios: 1. sin^(-1)(2x) = 2sin^(-1)(x)cos^(-1)(x) The inverse sine of twice an angle is equal to twice the product of the inverse sine and inverse cosine of the angle. 1. cos^(-1)(2x) = 2cos^(-1)(x) - 1 The inverse cosine of twice an angle is equal to twice the inverse cosine of the angle minus one. 1. tan^(-1)(2x) = 2tan^(-1)(x) / (1 - tan^2(x)) The inverse tangent of twice an angle is equal to twice the inverse tangent of the angle divided by one minus the square of the tangent of the angle. Triple Trigonometry Ratios: 1. sin^(-1)(3x) = 3sin^(-1)(x) - 4sin^(-1)(x)^3 The inverse sine of three times an angle is equal to three times the inverse sine of the angle minus four times the cube of the inverse sine of the angle. 1. cos^(-1)(3x) = 4cos^(-1)(x)^3 - 3cos^(-1)(x) The inverse cosine of three times an angle is equal to four times the cube of the inverse cosine of the angle minus three times the inverse cosine of the angle. 1. tan^(-1)(3x) = (3tan^(-1)(x) - tan^(-1)(x)^3) / (1 - 3tan^2(x)) The inverse tangent of three times an angle is equal to the expression (3tan^(-1)(x) - tan^(-1)(x)^3) divided by (1 - 3tan^2(x)). These ratios are used in inverse trigonometry to solve equations and simplify expressions involving inverse trigonometric functions. #mathsmasala #mathematics #ncertmathsolution #education #inversetrigonometricfunction