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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 `xy+yz+zx=1`, then

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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  2. sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

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

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

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  6. Statement I is True: Statement II is True; Statement II is a correct ...

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  7. Statement I is True: Statement II is True; Statement II is a correct e...

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  8. Statement I is True: Statement II is True; Statement II is a correct ...

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  9. Draw the graph of the following function: f(x)=sin^(-1)(x+2)

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  10. Draw the graph of the following function: g(x)=[cos^(-1)x],\ w h e r e...

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

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

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  13. 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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  14. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

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

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

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

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

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

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  20. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...

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