CBSE Class 12-science Answered
is the function f(x)=sinx+cosx, a constant function?
Asked by | 18 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 | 19 Apr, 2011, 10:00: AM
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