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sin alphax+cos alphax " and " abs(cosx)+...

`sin alphax+cos alphax " and " abs(cosx)+abs(sinx)` are periodic functions of same fundamental period, if `alpha` equals

A

0

B

1

C

2

D

4

Text Solution

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The correct Answer is:
D
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  • sin alphax+cos alphax " and " abs(cosx)+abs(sinx) are periodic functions of same fundamental period, if 'a' equals

    A
    0
    B
    1
    C
    2
    D
    4

  • If tan ax + cot ax and |tan x| + |cot x| are periodic functions of the same fundamental then a equals

    A
    4
    B
    2
    C
    1
    D
    3

  • Which of the following function is periodic with fundamental period pi ?

    A
    `f (x) =cos x|(sin x)/(2)|,` where `[.]` denotes greatest integer function
    B
    `g(x) =(sin x+ sin 7x)/(cos x+ cos 7x) + |sin x|`
    C
    `h (x) ={x}+|cos x| ,` where `{.}` denotes functional part function
    D
    `phi(x)=|cos x|+ ln (sin x)`

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