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if cos^(-1)((1-a^2)/(1+a^2)) - cos^(-1)(...

if `cos^(-1)((1-a^2)/(1+a^2)) - cos^(-1)((1-b^2)/(1+b^2)) = 2tan^(-1)x` then x is:

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The correct Answer is:
`x=(a-b)/(1+ab')`
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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Solve for x: cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi/...

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  2. Solve the following equations/system of equations sin^(-1) x+sin^(-1...

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  3. if cos^(-1)((1-a^2)/(1+a^2)) - cos^(-1)((1-b^2)/(1+b^2)) = 2tan^(-1)x ...

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  4. Show that sin^(- 1)(sin(3pi)/7)+cos^(- 1)(cos(46pi)/7)+tan^-1(-tan(13p...

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  5. Let the domain and range of inverse circular functions are defined as ...

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  6. Solve sin^(-1) x gt -1

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  7. Solve the following inequalities cos^(-1) x lt 2

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  8. Solve the following inequality: cot^(-1)xlt -sqrt(3)

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  9. Solve the inequality: (arc secx)^2-6(arc secx)+ 8> 0

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  10. Solve the following inequality: arc cot^(2)x-5 at cotx+6gt0

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  11. Solve the following inequalities arc sin x gt arc cos x

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  12. Solve the following inequalities tan^(2) (arc sin x)gt 1

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  13. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  14. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

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  15. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

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  16. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

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  17. Find the sum of the series cot^(-1) 7+cot^(-1)13+cot^(-1)21+cot^(-1)...

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  18. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

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  19. Find the sum of the series tan^(-1) 1/2+tan^(-1) 1/8+tan^(-1) 1/18+t...

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  20. If the sum sum(n=1)^10 sum(m=1)^10 tan^(-1) (m/n) = k pi, find the va...

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