Category Inverse Trigonometric Functions

14. (sin^{-1}(1-x)-2sin^{-1}x)(=frac{pi}{2}), then x is equal to: (A) (0,frac{1}{2}) (B) (1,frac{1}{2}) (C) (0) (D) (frac{1}{2}) Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3. …

13. (sin(tan^{-1}x),|x|<1) is equal to: (A) (frac{x}{sqrt{1-x^2}}) (B) (frac{1}{sqrt{1-x^2}}) (C) (frac{1}{sqrt{1+x^2}}) (D) (frac{x}{sqrt{1+x^2}}) Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4.…

Solve the following equations: 12. (tan^{-1}{frac{1-x}{1+x}})(=frac{1}{2}tan^{-1}x,;(x>0)) Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}). 7. (tan^{-1}{frac{63}{16}}=sin^{-1}{frac{5}{13}})(+cos^{-1}{frac{3}{5}}).…

Solve the following equations: 11. (2tan^{-1}(cosx)=tan^{-1}(2cosecx)). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}). 7. (tan^{-1}{frac{63}{16}}=sin^{-1}{frac{5}{13}})(+cos^{-1}{frac{3}{5}}).…

Find the value of the following: 10. (tan^{-1}(frac{sqrt{1+x}+sqrt{1-x}}{sqrt{1+x}+sqrt{1-x}}))(=frac{pi}{4}-frac{1}{2}cos^{-1}x),(;-frac{1}{sqrt2}le{x}le{1}). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}).…

Find the value of the following: 9. (cot^{-1}(frac{sqrt{1+sinx}+sqrt{1-sinx}}{sqrt{1+sinx}+sqrt{1-sinx}}))(=frac{x}{2},;xin(0,frac{pi}{4})). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}).…

Find the value of the following: 8. (tan^{-1}{sqrt{x}}=frac{1}{2}cos^{-1}{frac{1-x}{1+x}}). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}).…

Find the value of the following: 7. (tan^{-1}{frac{63}{16}}=sin^{-1}{frac{5}{13}})(+cos^{-1}{frac{3}{5}}). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}).…

Find the value of the following: 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}). Inverse Trigonometric Functions Miscellaneous Exercise Previous Next Class 12 Inverse Trigonometric Functions Miscellaneous Exercise Find the value of the following: 1. (cos^{-1}(cosfrac{13pi}{6})). 2. (tan^{-1}(tanfrac{7pi}{6})). 3.  (2sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{24}{7}}). 4. (sin^{-1}{frac{8}{17}}+sin^{-1}{frac{3}{5}})(=tan^{-1}{frac{77}{36}}). 5. (cos^{-1}{frac{4}{5}}+cos^{-1}{frac{12}{13}})(=cos^{-1}{frac{33}{65}}). 6. (cos^{-1}{frac{12}{13}}+sin^{-1}{frac{3}{5}})(=sin^{-1}{frac{56}{65}}).…