Month May 2023

Find the values of each of the following: 9. (tan^{-1}[sin^{-1}{frac{2x}{1+x^2}}+cos^{-1}{frac{1-y^2}{1+y^2}}]), (|x|<1, y>0) and (xy<1). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following…

Find the values of each of the following: 8. (tan^{-1}[2cos(2sin^{-1}{frac{1}{2}})]). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the simplest…

Write the following functions in the simplest form: 7. (tan^{-1}(frac{3a^2x-x^3}{a^3-3ax^2})), (a>0;-frac{a}{sqrt3}<x<frac{a}{sqrt3}). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the…

Write the following functions in the simplest form: 6. (tan^{-1}{frac{x}{sqrt{a^2-x^2}}}), (|x|<a). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the…

Write the following functions in the simplest form: 5. (tan^{-1}(frac{cosx-sinx}{cosx+sinx})), (-frac{pi}{4}<x<frac{3pi}{4}). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the…

Write the following functions in the simplest form: 4. (tan^{-1}(sqrt{frac{1-cosx}{1+cosx}})),(0<x<pi). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the simplest…

Write the following functions in the simplest form: 3. (tan^{-1}{frac{sqrt{1+x^2}-1}{x}}), (xne {0}). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in…

Prove the following: 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the simplest form: 3. (tan^{-1}{frac{sqrt{1+x^2}-1}{x}}), (xne…

Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). Inverse Trigonometric Functions Exercise 2.2 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.2 Prove the following: 1. (3sin^{-1}{x}=sin^{-1}(3x-4x^3)), (xin[-frac{1}{2},frac{1}{2}]). 2. (3cos^{-1}{x}=cos^{-1}(4x^3-3x)), (xin[frac{1}{2},1]). Write the following functions in the simplest form: 3. (tan^{-1}{frac{sqrt{1+x^2}-1}{x}}), (xne…