Category class 12

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…

14. (tan^{-1}{sqrt{3}}-sec^{-1}(-2)) is equal to: (A) (pi) (B) (-frac{pi}{3}) (C) (frac{pi}{3}) (D) (frac{2pi}{3}) Inverse Trigonometric Functions Exercise 2.1 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.1 Find the principal values of the following: 1. (sin^{-1}({-frac{1}{2}})) 2. (cos^{-1}({frac{sqrt{3}}{2}})) 3. (cosec^{-1}(2))…

13. If (sin^{-1}x=y), then (A) (0le ylepi) (B) (-frac{pi}{2}le y le -frac{pi}{2}) (C) (0 < y <pi) (D) (-frac{pi}{2} < y < -frac{pi}{2})  Inverse Trigonometric Functions Exercise 2.1 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.1 Find the principal…

Find the values of the following: 12. (cos^{-1}({frac{1}{sqrt 2}}))+2(sin^{-1}({frac{1}{sqrt 2}})). Inverse Trigonometric Functions Exercise 2.1 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.1 Find the principal values of the following: 1. (sin^{-1}({-frac{1}{2}})) 2. (cos^{-1}({frac{sqrt{3}}{2}})) 3. (cosec^{-1}(2)) 4. (tan^{-1}(-sqrt{3})) 5.…

Find the values of the following: 11. (tan^{-1}(1))+(cos^{-1}({-frac{1}{sqrt 2}}))+(sin^{-1}({-frac{1}{sqrt 2}})). Inverse Trigonometric Functions Exercise 2.1 Previous Next Class 12 Inverse Trigonometric Functions Exercise 2.1 Find the principal values of the following: 1. (sin^{-1}({-frac{1}{2}})) 2. (cos^{-1}({frac{sqrt{3}}{2}})) 3. (cosec^{-1}(2)) 4. (tan^{-1}(-sqrt{3})) 5.…