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Find the principal values the following ...

Find the principal values the following : `sin^-1{cos(sin^-1(sqrt(3)/2)}`

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Find the principal value of the following: """"" sin^(-1){cos(sin^(-1)(sqrt(3/2))}

Find the principal values of the following : (i) sin^(-1)(sqrt(-3/2)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))

Find the principal value of each of the following: (i) sin^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(cos (pi/3)) (iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

Find the principal value of each of the following: sin^(-1)((sqrt(3)+1)/(2sqrt(2))) (ii) sin^(-1)(cos(pi/4)) (iii) sin^(-1)(tan((5pi)/4))

For the principal values, evaluate the following : sin^-1(-sqrt(3)/2)+ cosec^-1(-2/sqrt(3))

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For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3))) sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2)) sin^(-1)[cos{2cos e c^(-1)(-2)}] cos e c^(-1)(2tan(11pi)/6)

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Find the principal value of each of the following: (i) cos^(-1)(-(sqrt(3))/2) (ii) cos^(-1)(-1/(sqrt(2)))

RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x) is differentiable at x=0 the...

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  2. Solve the following equation for x : cos(tan^-1 x) = sin(cot^-1(3/4))

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  3. Find the principal values the following : sin^-1{cos(sin^-1(sqrt(3)/2)...

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  4. Solve the following equation for x : cos(tan^-1 x) = sin(cot^-1(3/4))

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  5. For the principal values, evaluate the following : sin^-1(-sqrt(3)/2)+...

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  6. If A is a square matrix such that |A| = 2, write the value of | AA^T|

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  7. Find the domain of the function f(x) = sin^-1 sqrt(x-1)

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  8. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

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  9. If f(x) = (x^l/x^m)^(l+m) (x^m/x^n)^(m+n) (x^n/x^l)^(n+l), then find f...

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  10. Show that f(x)=|x| is not differentiable at x=0.

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  11. Evaluate : tan(cos^-1(-7/25))

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  12. For what choice of a and b is the function f(x)={x^2,xlt=c and a x+...

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  13. Discuss the differentiability of f(x)=x|x| at x=0

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  14. Show that the function f(x)={ x^2sin(1/x) , when x !=0 and 0 when x=0 ...

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  15. If f(2)=2a n df^(prime)(2)=1, then find (lim)(xvec2)(xf(2)-2f(x))/(x-2...

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  16. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

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  17. Show that f(x)=|x| is not differentiable at x=0 .

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  18. Show that the function f(x)={x-1\ \ \ ,\ \ \ if\ x<2 \ \ \ \ \ \ \ ...

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  19. Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is dif...

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  20. Show that f(x)=x^2 is differentiable at x=1 and find f^(prime)(1) .

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