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14. (sin(frac{pi}{3}-sin^{-1}(-frac{1}{2}))). (A) (frac{1}{2}) (B) (frac{1}{3}) (C) (frac{1}{4}) (D) (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…

13. (cos^{-1}(cos{frac{7pi}{6}})). (A) (frac{7pi}{6}) (B) (frac{5pi}{6}) (C) (frac{pi}{3}) (D) (frac{pi}{6}) 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…

Find the values of each of the expressions in Exercises 10 to 15. 12. (tan(sin^{-1}{frac{3}{5}}+cot^{-1}{frac{3}{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…

Find the values of each of the expressions in Exercises 10 to 15. 11. (tan^{-1}(tan{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…

Find the values of each of the expressions in Exercises 10 to 15. 10. (sin^{-1}(sin{frac{2pi}{3}})). 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…

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…