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Find the range of f(x)=sec(pi/4cos^2x), ...

Find the range of `f(x)=sec(pi/4cos^2x),` where `-oo

A

`[1,sqrt(2)]`

B

`[1,oo)`

C

`[-sqrt(2),-1] cup [1,sqrt(2)]`

D

`(-oo,-1] cup [1,oo)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
  1. The equivalent definition of f(x)=||x|-1|, is

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  2. If f(x)||x|-1|, then fof(x) equals

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  3. Find the range of f(x)=sec(pi/4cos^2x), where -oo<x<oo

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  4. The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2,...

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  5. The function f(x)=((1)/(2))^(sinx), is

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  6. If [x] and {x} represent the integral and fractional parts of x respe...

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  7. Let f(x)={{:( 0,x=0),(x^(2) sin pi//2x,|x| lt 1),(x|x|, |x| ge 1):}. T...

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  8. Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(...

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  9. The domain of definition of the function f(x)=tan((pi)/([x+2])), is wh...

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  10. The range of the function f(x)=sin [log (sqrt(4-x^(2))/(1-x)) is :

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  11. The range of the function y=(x+2)/(x^2-8x-4)

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  12. The range of the function f(x)=1+sinx+sin^(3)x+sin^(5)x+…… when x in ...

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  13. The period of the function f(x)=|sin 3x|+| cos 3x| , is

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  14. The function f(x)={{:( 1, x in Q),(0, x notin Q):}, is

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  15. Which of the following functions has period pi ?

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  16. The function f(x)=x[x] , is

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  17. If f(x) and g(x) are periodic functions with the same fundamental per...

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  18. The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi], where ...

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  19. If f(sinx)-f(-sinx)=x^(2)-1 is defined for all x in R , then the val...

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  20. Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2...

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