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Write the following functions in the sim...

Write the following functions in the simplest from :
`sin^(-1)(x^(2)sqrt(1-x^(2))+xsqrt(1-x^(4)))`

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The correct Answer is:
`sin^(-1)x^(2)+sin^(-1)x`
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KUMAR PRAKASHAN-INVERSE TRIGONOMETRIC FUNCTIONS-PRACTICE WORK
  1. Write the following functions in the simplest from : tan^(-1)((cosx)...

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  2. Write the following functions in the simplest from : sin^(-1)(2xsqrt...

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  3. Write the following functions in the simplest from : sin^(-1)(x^(2)s...

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  4. Write the following functions in the simplest from : cot^(-1)(sqrt(1...

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  5. Write the following functions in the simplest from : cot^(-1)(1/sqrt...

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  6. Find the values of each of the following : sin(2"cos"^(-1)4/5)

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  7. Find the values of each of the following : tan^(2)(1/2"cos"^(-1)3/4)

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  8. Find the values of each of the following : sin(pi/2-"cos"^(-1)3/7)+c...

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  9. Find the values of each of the following : tan^(-1)2x+tan^(-1)(1/(x+...

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  10. Find the values of each of the following : sin(cos^(-1)sqrt3x+cos^(-...

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  11. Find the values of each of the following : tan[sin^(-1)(3/5)+cos^(-1...

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  12. Find the value of sin^(-1)("cos"pi/8).

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  13. Find the value of tan^(-1)("tan"(5pi)/4).

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  14. Find the value of sin(2"tan"^(-1)4/3).

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  15. Find the value of sin[tan^(-1)("tan"(7pi)/6)]+cos[cos^(-1)("cos"(7pi...

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  16. If 4sin^(-1)x+cos^(-1)x=pi then find the value of x.

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  17. Find the value of the following : sin^(-1)(sin((7pi)/3))

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  18. Find the value of the following : cos^(-1)("cos"(5pi)/3)

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  19. Find the value of the following : cot^(-1)("cot"(7pi)/6)

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  20. Find the value of the following : sin^(-1)("sin"(3pi)/2)

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