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Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 ...

Prove that: `tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5)`.

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen a. a...

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  2. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

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  3. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

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  4. sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x , then roots of the equa...

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  5. Find the value of sin^(-1)(sin(33pi)/7)\

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  6. Find the value of cos^(-1)(cos(46pi)/7)

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  7. Find the value of tan^(-1)(tan((-33pi)/7))

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  8. Find the value of cot^(-1)(cot((-46 pi)/7))

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  9. Find the value of Sin ( tan^(-1) x)

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

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

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

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

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

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

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

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

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

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

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

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