5. If (x=frac{sqrt{3}+sqrt{2}}{sqrt{3}-sqrt{2}}) and (y=frac{sqrt{3}-sqrt{2}}{sqrt{3}+sqrt{2}}), then find the value of (x^2+y^2). Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are integers and (qne {0}). 2.…
4. If (a=frac{3+sqrt{5}}{2}), then find the value of (a^2+frac{1}{a^2}). Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are integers and (qne {0}). 2. Simplify: (frac{7sqrt{3}}{sqrt{10}+sqrt{3}})(-frac{2sqrt{5}}{sqrt{6}+sqrt{5}})(-frac{3sqrt{2}}{sqrt{15}+3sqrt{2}}).…
3. If (sqrt{2}=1.414, sqrt{3}=1.732), then find the value of (frac{4}{3sqrt{3}-2sqrt{2}})(+frac{3}{3sqrt{3}+2sqrt{2}}). Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are integers and (qne {0}). 2. Simplify:…
1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are integers and (qne {0}). Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are…
2. Simplify: (frac{7sqrt{3}}{sqrt{10}+sqrt{3}})(-frac{2sqrt{5}}{sqrt{6}+sqrt{5}})(-frac{3sqrt{2}}{sqrt{15}+3sqrt{2}}). Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Express (0.6+0.bar{7}+0.4bar{7}) in the form (frac{p}{q}), where p and q are integers and (qne {0}). 2. Simplify: (frac{7sqrt{3}}{sqrt{10}+sqrt{3}})(-frac{2sqrt{5}}{sqrt{6}+sqrt{5}})(-frac{3sqrt{2}}{sqrt{15}+3sqrt{2}}). 3. If (sqrt{2}=1.414, sqrt{3}=1.732), then find…
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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}}).…
