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Prove that 2 tan^(-1) (cosec tan^(-1) x ...

Prove that `2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)`

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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Find the number of values of x in [-pi/4, pi/4] satisfying the equatio...

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  2. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  3. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  4. cos^(-1)((63)/(65))+2tan^(-1)((1)/(5))=sin^(-1)(3/5)

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  5. Find the value of 2 cos^(-1).(3)/(sqrt13) + cot^(-1).(16)/(63) + (1)/(...

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  6. Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=...

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  7. the value of arc cos sqrt(2/3)-arc cos ((sqrt(6)+1)/(2sqrt(3))) is

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  8. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

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  9. हल कीजिए : tan^(-1)((1)/(1+2x))+tan^(-1)((1)/(1+4x))=tan^(-1)""(2)/(...

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  10. Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = t...

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  11. Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

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  12. Solve for x: cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi/...

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

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

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

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

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

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

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

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

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