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Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1...

Solve : `tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following: 2\ tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2\ tan^(-1)1/...

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  2. The equation 2cos^(-1)x+sin^(-1)x=(11pi)/6 has a. no solution b. only...

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  3. Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4

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  4. Solve the equation : 2 tan^(-1) ( 2x - 1) = cos ^(-1) x .

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  5. solve sin^(-1) (sin 5) gt x^(2) - 4x

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  6. The complete solution set of the inequality [cot^(-)x]^(2)-6[cot^(-1)x...

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  7. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  8. If ci >0 for i=1,2,....., n prove that tan^(-1)((c1x-y)/(c1y+x))+tan^...

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  9. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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  10. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

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  11. Solve for x : If [ sin^(-1) cos^(-1) sin ^(-1) tan^(-1)x] = 1, where...

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  12. The value(s) of theta satisfying the equation theta=tan^(-1)(2tan^2the...

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  13. The principle value of sin^-1 (sqrt-(3)/2) is (A) - (2pi)/3 (B) pi/3 ...

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  14. Show that : cos(2\ tan^(-1)(1/7 ))=sin(4\ tan^(-1) (1/3) )

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  15. The value of sec(sin^-1(sin((-50pi)/9))+cos^-1(cos(31pi)/9))

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  16. cos (cos^-1 cos((8pi)/7) +tan^-1 tan(8pi/7)) has the value equal to -

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  17. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  18. "tan"(cos^(-1)x) is equal to x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(1-x^...

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  19. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

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  20. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

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