MEDIUM
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Given is the partial graph of an even periodic function f whose period is 8. If * denotes greatest integer function then find the value of the expression f-3+2f-1+f78+f0+arccosf-2+f-7+f20.

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Important Questions on Functions

MEDIUM
The function fx=sinπxn!cosπxn+1! is
EASY
The period of the function fx=cos4x+tan3x is
EASY
Consider the function f(x)=cosx2. Then
HARD
It a, b be two fixed positive integers such that fa+x=b+b3+1-3b2fx+3bfx2-fx31/3 for all real x then fx is a periodic function with period
EASY
The function f(x)=tanπx-x+[x] has period, where . denotes greatest integer function
EASY
If fa+x=fx, then 0nafxdx, where nN, is equal to
EASY
If f:RR is a function satisfying f2x+3+f2x+7=2 xR, then the period of fx is
EASY

Let fx=sinx+cosax be a periodic function. Then,

MEDIUM

The function fx=sin4x+cos2x, is a periodic function with a fundamental period 

HARD
If fx=2sin3πx+x-x, where · denotes the integral part of x is a periodic function with period
EASY
The fundamental period of the function fx=sin x+cosx is
HARD
Which of the following functions are periodic? (Where · denotes the greatest integer function.)
MEDIUM
The period of the function fθ=sinθ3+cosθ2 is
HARD
The period of the function fx=sin3x+cos6x is (. denotes the greatest integer less than or equal to x)
MEDIUM
sinax+cosax and sinx+cosx are periodic with the same fundamental period, if a equals to
HARD

If f be a real value function such that for any real x,f(15 + x) = f(15 - x) & f(30 + x)= -f(30 - x), then which of the following statement is true ?

MEDIUM
The period of the function fθ=4+4sinθ-3sinθ is