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The value of cos(tan^-1 (tan 2)) is...

The value of `cos(tan^-1 (tan 2))` is

A

`1//sqrt(5)`

B

`-1//sqrt(5)`

C

cos 2

D

`-cos 2`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
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  3. If -oo lt x le 0 then cos ^(-1)((1-x^(2))/(1+x^(2)))equals

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  4. If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

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  5. If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

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  6. If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

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  7. If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x...

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  8. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2) ) is independent of x then :

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  9. If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

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  11. If sec^(-1)x=cosec^(-1) y then cos^(-1)(1/x)+cos^(-1)(1/y)=

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  12. Let cos(2 tan^(-1) x)=1/2 then the value of x is

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  13. If tan^(-)(x/(pi))lt (pi)/(3) ,x in N then the maximum vlaue of x is

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  14. Range of the function f (x) = cos^-1 (-{x}), where {.} is fractional ...

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  19. If cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=theta then the maximum of 9x^(2)-12...

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  20. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, Prove xsqrt(1-x^2)+ysqrt(1-y^2)+z...

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