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Write the following functions in the sim...

Write the following functions in the simplest form: `tan^(-1){x/(sqrt(a^2-x^2))}`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2

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  2. Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(...

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  3. Write the following functions in the simplest form: tan^(-1){x/(sqrt...

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  4. Evaluate each of the following: cot^(-1)(1/(sqrt(3)))-cos e c^(-1)(-2)...

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  5. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

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  6. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

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  7. Evaluate each of the following: sin^(-1)(sinpi/3) (ii) cos^(-1)(cos(2...

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  8. If cos e c^(-1)x+cos e c^(-1)y+cos e c^(-1)z=-(3pi)/2, find the value ...

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  9. For the principal values, evaluate the following: tan^(-1)sqrt(3)-se...

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  10. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

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  11. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  12. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

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  13. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

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  14. Write the value of tan^(-1){2sin(2cos^(-1)(sqrt(3))/2)}dot

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  15. Write the principal value of cos^(-1)(cos680^0)dot

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  16. What is the principal value of sin^(-1)(-(sqrt(2))/2)?

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  17. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

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  18. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

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  19. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

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  20. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

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