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x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+ta...

`x≥0,y≥0,z≥0` and `tan^(-1) x+tan^(-1) y+tan^(-1) z=k`, the possible value(s) of `k` if `x^2 + y^2+z^2 = 1, & \ x+y+z=sqrt(3)`, then

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  2. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  3. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  4. x+y+z=x y z ,\ t h e n

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  5. Statement I: cos e s^(-1)(cos e c9/5)=pi-9/5dot Statement II: cos e ...

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  6. Let f:R to R .is a function which is defined by f(x)=x^2 a.  one-one ...

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  7. If p + r = 2q and 1/q + 1/s = 2/r, then prove that p : q = r : s.

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  8. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

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  9. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

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  10. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

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  11. If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)}then

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  12. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

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  13. Prove the following sin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77/85)

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  14. cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

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  15. Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5

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  16. the value of 3tan^- 1(1/4)+tan^- 1(1/20)+tan^- 1(1/1985)

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  17. If sin^2x + sin^2y < 1 ; x, y in R then prove that sin^-1(tanx . tany...

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  18. Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...

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  19. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x) = pi If x satisfies the equa...

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  20. If alpha=2 tan^(-1)((1+x)/(1-x)) and beta= sin^(-1)((1-x^2)/(1+x^2...

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