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If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(1...

If `S_n=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+....n` terms, then

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

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  2. Let alpha = sin^(-1) ((36)/(85)), beta = cos^(-1) ((4)/(5)) and gamma ...

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  3. If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+....n terms, t...

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  4. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 17/(6) (...

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  5. If tan^(-1)((sqrt(1+x^2)-1)/x)=4^0 then (a)x=tan2^0 (b) x=tan4^0 (c)...

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  6. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a...

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  7. The value of cot(sum(n=1)^(23)cot^-1(1+sum(k=1)^n2k)) is

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  8. The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

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  9. If f(x)=x^(11)+x^9-x^7+x^3+1 and f(sin^(-1)(sin8))=alpha,alpha is cons...

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  10. If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equ...

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  11. A particle just clears a wall of height b at distance a and strikes ...

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  12. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

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  13. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

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  14. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

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  15. In an AP given a = 5, d = 3, an = 50, Find n and Sn of that AP.

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  16. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

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  17. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9...)+c...

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  18. Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6; sin^(-...

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  19. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

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  20. If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) ...

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