is the function f(x)=sinx+cosx, a constant function?

Asked by  | 18th Apr, 2011, 09:10: PM

Expert Answer:

A constant function has the same value for all x.
 
For f(x) = sinx + cosx,
 
f(0)= sin0 +cos0 = 0 +1 = 1
f(pi) = sin(pi) + cos (pi) = 0 + (-1) = -1
 
thus f(0) and f(pi) have diferent values, so f(x) is not a constant function

Answered by  | 19th Apr, 2011, 10:00: AM

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