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Prove that: tan^-1((c1x-y)/(c1y+x))+tan^...

Prove that: `tan^-1((c_1x-y)/(c_1y+x))+tan^-1((c_2-c_1)/(1+c_2c_1))+tan^-1((c_3-c_2)/(1+c_3c_2))` +`.......+tan^-1((c_n-c_(n-1))/(1+c_nc_(n-1)))+tan^-1(1/c_n)=tan^-1(x/y)`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve the equation tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7...

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  2. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  3. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

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  4. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

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  5. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

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  6. The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1...

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  7. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical fu...

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  8. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

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  9. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

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  10. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

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  11. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

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  12. The mean and standard deviation of 100 observations were calculated as...

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  13. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

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  14. Find the area bounded by y=sin^(-1)(sinx) and x-axis for x in [0,100pi...

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  15. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

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  16. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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  17. Find the number of solution of 2tan^(-1)(tanx)=6-x

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  18. Find the value of sin(1/4cos^(-1)((-1)/9))

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  19. Find the value of sin(1/2cot^(-1)(-3/4))

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  20. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

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