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The value of tan^(-1)((xcostheta)/(1-xsi...

The value of `tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(x-sintheta))i s` `2theta` (b) `theta` (c) `theta/2` (d) independent of `theta`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x ,t h e nx= (a...

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

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  3. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

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  4. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

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  5. The sum of series sec^(-1) sqrt2 + sec^(-1).(sqrt10)/(3) + sec^(-1).(s...

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  6. The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) ...

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  7. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

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  8. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x ...

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  9. If alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^4)),beta=2sin^(-1)((2x)/(1+x^2))...

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  10. Absolute value of sum of all integers in the domain of f(x)=cot^(-1)sq...

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

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  12. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

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  13. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),where x in R-{-1,1}, is equal to

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  14. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

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  15. Prove that: tan^(-1)x+tan^(-1)(1/x)={pi/2,ifx >0-pi/2,ifx<0

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  16. Find the value of sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)dot

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  17. Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset...

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  18. If sin^(-1)xi in [0,1]AAi=1,2,3, .28 then find the maximum value of s...

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  19. Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

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  20. If two angles of a triangle are tan^(-1)(2)a n dtan^(-1)(3), then find...

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