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The domain of the function: f(x) =(tan...

The domain of the function:
`f(x) =(tan 2x)/(6 cos x + 2 sin 2x)` is:

A

`R-{(2n+1) pi/2, n in Z}`

B

`R-{(2n+1) pi/4, n in Z}`

C

`R-{(2n+1)pi/2, n in Z} cup {(2n+1)pi/4: n in Z}`

D

R

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. The domain fo f(x)=(1)/(|sinx|+sinx) is

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  3. The domain of the function: f(x) =(tan 2x)/(6 cos x + 2 sin 2x) is:

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  4. The domain of the function f(x) = sqrt("cosec"x-1) is:

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  5. If f(x)=|sinx| has an inverse if its domain is

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  6. Domain of sin^(-1) 5x is:

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  7. The doamin of sqrt(1-3x)+Cos^(-1).(3x-1)/(2) is

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  8. Domain of Cos^(-1)sqrt(3x) is

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  9. The domain of the function f(x) =sqrt(sin^(-1)x) is:

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  10. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  11. The domain of sin^(-1)[(3x-1)/2] + sqrt(cos(sin x)) is:

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  12. The domain of the function: f(x) = sqrt(sin^(-1)(log(2)x)) + sin^(-...

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  13. The domain of f(x)=("cosec"^(-1)x)/([x]) is

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  14. The domain of sin^(-1)(x/2-1)+ logsqrt(x-[x]) is:

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  15. The largest interval lying in (-pi/2, pi/2) for which the function f(x...

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  16. The domain of log(tan^(-1)x) is:

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  17. Find the domain of the function f(x) = log2(log3(log4/π( tan − 1x)− 1 ...

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  18. The domain of (tanh^(-1)(2x-3))/sqrt(4-x^(2)) is

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  19. If f:R rarrS, defined by f(x)=sinx-sqrt3cos x+1, is onto, then the int...

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  20. The range of the function f(x)=[sinx+cosx] (where [x] denotes the grea...

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