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Write the following functions in the sim...

Write the following functions in the simplest form :
`tan^(-1)((cos x -sin x)/(cos x + sin x)), -pi/4 lt x lt (3pi)/4`

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BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Solve tan^-1 2x+tan^-1 3x=pi/4

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  2. If A=sin^-1frac(2x)(1+x^2) , B=cos^-1frac(1-x^2)(1+x^2) , C=tan^-1frac...

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  3. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

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  4. Principal value of cot^-1(-1/(sqrt3)) is a)pi/3 b)-pi/3 c)pi/6 d)2pi/3

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  5. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

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  6. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

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  7. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

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  8. What is the value of sin^-1(sin160^@)?

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  9. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

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  10. The principal value of cos^-1(-frac(1)(2))

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  11. Write the following functions in the simplest form : tan^(-1)((cos x...

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  12. Write the principal value of sin^-1(frac(1)(2))

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  13. show that sin^-1frac(3)(5)-sin^-1frac(8)(17)=cos^-1frac(84)(85)

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  14. If sin (sin ^(-1) (1/5) + cos ^(-1) x )=1, then the value of x is :...

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  15. Find the simplest form of tan^-1(cosx/(1-sinx)).

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  16. Find cos^-1(1/2)+2sin^-1(1/2)

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  17. tan ^(-1) sqrt3-cot ^(-1)(-sqrt3) is equal to A)pi B)(-pi)/2 C)0 D)2 s...

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

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  19. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))=

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  20. sin^(-1)(1-x)-2sin^(-1)x= pi/2,then find x

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