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Write in the simplest form : tan^-1 (sin...

Write in the simplest form : `tan^-1 (sin x/(1 + cos x))

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Write the following in the simplest form: tan^-1((cos x)/(1-sinx)), - pi/2 < x < pi/2

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Write the following in the simplest form: tan^-1((cos x - sinx)/(cosx + sinx)), x < pi

Write the following functions in the simplest form: tan^-1((sqrt(1-cosx)/(1+cosx)), 0 < x< pi

Express the following functions in the simplest form : tan^-1 (sqrt((1-x)/(1+x))) , - 1 < x le 1

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove that cos(2 tan^-1 (sqrt((1-x)/(1+x)))) = x, - 1 < x le 1

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  2. Prove that : tan^-1((6x-8x^3)/(1-12x^2))- tan^-1(4x/(1-4x^2)) = tan^-1...

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  3. Write in the simplest form : tan^-1 (sin x/(1 + cos x))

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  4. Write in simplest form : "tan"^(-1)(sqrt((1-"cos"x)/(1+"cos"x))),xltpi...

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  5. Write the following in the simplest form tan^(-1)((cosx+sinx)/(cosx-...

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  6. Express the following functions in the simplest form : tan^-1(x/(sqr...

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  7. Express the following functions in the simplest form : tan^-1((2sqrt...

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  8. Express the following functions in the simplest form : tan^-1 (sqrt(...

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  9. Express the following functions in the simplest form : cot^-1(sqrt(1...

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  10. Express the following functions in the simplest form : tan^-1(3x - x...

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  11. Express the following functions in the simplest form : tan^-1 ((3a^2...

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  12. Express the following functions in the simplest form : tan^-1 (a cos...

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  13. Solve : cot^-1(2x)+cot^-1(3x)=pi/4

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  14. Solve the following equations. cot^-1 x - cot^-1 (x+2) = pi/12, x > ...

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  15. Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...

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  16. Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x).

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  17. Solve the following equations. cos^-1((1-x^2)/(1+x^2)) + tan^-1 ((2x...

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  18. Solve : 3 tan^-1(1/(2+sqrt3)) - tan^-1(1/x) = tan^-1(1/3)

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  19. Solve the following equations. tan^-1 (x-1) + tan^-1 x + tan^-1 (x+1...

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  20. Solve the following equations. tan^-1 (sqrt(x^2 + x) + sin^-1 sqrt(x...

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