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Solve for x : If [ sin^(-1) cos^(-1) s...

Solve for x : If ` [ sin^(-1) cos^(-1) sin ^(-1) tan^(-1)x] = 1`, where [.] denotes the greatest integer function .

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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

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

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

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

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

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

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

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

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

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

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  13. If sin^-1x+ cot^-1 (1/2)= pi/2 then x is (A) 0 (B) 1/sqrt(5) (C) 2/sqr...

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  14. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  15. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in [0,\ 1]\ b. [-1/(...

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  16. Domain of the explicit from of the function y represented implicity by...

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  17. If cos^(-1) x - cos^(-1).(y)/(2) = alpha, then 4x^(2) - 4xy cos alpha ...

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  18. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

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  19. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is- a.(-...

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  20. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

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