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If sin^(-1)x=(pi)/(5) " for some x"in(-1...

If `sin^(-1)x=(pi)/(5) " for some x"in(-1,1) , "then : "cos^(-1)x=....`

A

`(3pi)/10`

B

`(5pi)/10`

C

`(3pi)/10`

D

`(9pi)/10`

Text Solution

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The correct Answer is:
A
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Self Assessment Test
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  2. If cos^(-1)" 1/x=theta , " then " tan theta=

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  3. If A tan^(-1) x ,x in R then the value of sin 2A is

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  4. Write the value of sin(cot^(-1)x) .

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  5. The value of cos^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx -sqr...

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  6. The value of sin^(-1) x+cos^(-1)x(absx le 1) is

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  7. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

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  8. The value of cos^(-1)(-1)-sin^(-1)(1) is- pi b. pi/2 c. (3pi)/2 d. -(3...

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  9. If sin^(-1) sqrt(x^2+2x+1sec^(-1)) sqrt(x^2+2x+1) = pi/2, x ne 0 then ...

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  10. tan^(-1) ""1/3+tan^(-1)""2/9+tan^(-1)"" 4/33 +….oo is equal to

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  11. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  12. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

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  13. The value of cot[cos^(-1)(7/25)] is

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  14. If x takes negative permissible vlaue then sin^(-1)x=

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  15. cot^(-1)9 + cos^(-1)sqrt(41)/4=

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  16. The principal value of "sin"^(-1)("sin""(5pi)/(3)) is

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  17. The solution set of the equation sin^(-1)x=2 tan^(-1)x is

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  18. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(pi)/(2), then the value of x^(2)+y^(...

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  19. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

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  20. sin^(-1)" 1/sqrt5 +cot^(-1)3 is equal to

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  21. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x i...

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