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Find the value of sin(cot^(-1)(tan(tan^(...

Find the value of `sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]`

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the value of Sin ( tan^(-1) x)

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  2. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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  3. Find the value of sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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