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If x , y ,z in [-1,1] such that cos^(-1...

If `x , y ,z in [-1,1]` such that `cos^(-1)x+cos^1y+cos^(-1)z=3pi,` then find the values of (1) `x y+y z+z y` and (2) `x(y+z)+y(z+x)+z(x+y)`

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If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then find the values of (1) x y+y z+z x and (2) x(y+z)+y(z+x)+z(x+y)

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. If x ,\ y ,\ z in [-1,1] such that cos^(-1)x+cos^(-1)y+cos^(-1)z=0 , f...

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  2. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then f...

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  3. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then...

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  4. Find the domain of definition of f(x)=cos^(-1)(x^2-4) .

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  5. Find the domain of f(x)=2cos^(-1)2x+sin^(-1)x .

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  6. Find the domain of f(x)=cos^(-1)x+cosx .

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  7. Find the principal value of each of the following: (i) cos^(-1)(-(sq...

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  8. Find the principal value of each of the following: (i) cos^(-1)(sin(...

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  9. For the principal values, evaluate each of the following : (i)cos^(-...

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  10. For the principal values, evaluate each of the following : (i)sin^(-...

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  11. Find the principal value of tan^(-1)(-sqrt(3))

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  12. Find the principal value of tan^(-1)(1)

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  13. Find the principal value of tan^(-1){sin(-pi/2)}

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  14. Find the principal value of tan^(-1){cos((3pi)/2)}

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  15. For the principal values, evaluate each of the following: (i)tan^(-1){...

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  16. For the principal values, evaluate each of the following: (i) tan^(-1)...

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  17. What is greater, tan1 or tan^(-1)1?

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  18. Find the minimum value of n for which tan^(-1)(n/pi)>pi/4,n in Ndo...

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  19. Find the principal value of each of the following: (i) tan^(-1)(1/(s...

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  20. Find the principal value of each of the following: tan^(-1)(cospi/2...

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