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Fill in the blank choosing correct answer from the brackets if the value of `sin^(-1)x = pi/5` for some `x in (-1,1 )`then the value of `cos^(-1) x is _____.`
`((3pi)/10, (5pi)/10,(7pi)/10)`

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SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
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  2. What is the principal value of sin^(-1)(sin((2pi)/3))?

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  3. Fill in the blank choosing correct answer from the brackets if the val...

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  5. Fill in the blank choosing correct answer from the brackets The value ...

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  6. If x+y=4, xy=1 then what is the value of tan^(-1)x+tan^(-1)y?

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  7. Fill in the blank choosing correct answer from the brackets if "sin"^...

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  9. What is the value of 2sin^(-1) (1/2)+cos^(-1) (1/2)?

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  10. Find the value of sin[cot^(-1){tan(cos^(-1)x)}]

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  11. Find the value of cot(pi/4-2cot^(-1)3)?

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  12. If "tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1, then write the value of x+y+x...

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  13. If "sin"("sin"^(-1)1/(5)+"cos"^(-1)x)=1, then find the value of x.

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  14. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2).

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  15. Write the principal value of "tan"^(-1)["sin"(-pi/(2))].

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  16. Write the principal value of "cos"^(-1)("cos"680^(@)).

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  17. Write the principal value of cos^(-1)(sqrt3/2)+cos^(-1)(-1/2).

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  18. Write the value of "tan"^(-1)(a/b)-"tan"^(-1)((a-b)/(a+b)).

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  19. Evaluate tan^(-1)(1)+cos^(-1)((-1)/(2)).

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  20. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt3/2)]

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