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The value of cos^(-1){1/(sqrt(2))("cos"(...

The value of `cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)}` is

A

`(3pi)/20`

B

`(7pi)/10`

C

`(7pi)/20`

D

`(17pi)/20`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

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  2. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

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  3. The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is

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  4. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

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  5. If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1-x^(2))/(2x))=(pi)/3,xgt0 then

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  6. If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

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  7. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

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  8. Th ascending order of minimum values of functions P: sin^(-1)x-cos^(...

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  9. Match the following:

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  10. Assertion : If 0ltxlt(pi)/2 then sin^(-1)(cosx)+cos^(-1)(sinx)=pi-2x ...

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  11. cos^(-1)((3+5cosx)/(5+3cosx)) is equal to

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  12. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

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  13. tan^(-1)[(cosx)/(1+sinx)] is equal to

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  14. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

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  15. If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x then x=

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  16. 2sin^(-1)x=cos^(-1)(1-2x^(2)) is true for

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  17. cot((pi)/4-2cot^(-1)3)=

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  18. Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+……n terms =

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  19. tan^(-1)((yz)/(xsqrt(x^(2)+y^(2)+z^(2))))+tan^(-1)((zx)/(ysqrt(x^(2)+y...

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  20. If tan^(-1)x,tan^(-1)y,tan^(-1)z are in A.P then (2y)/(1-y^(2))=

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