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Question
Determine whether the following function is odd or even?
f(x) = sin x + cos x
Sum
Solution
f(x) = sin x + cos x
f(-x) = sin(-x) + cos(-x)
= - sin x + cos x
= - [sin x – cos x]
Since f(-x) ≠ -f(x) (or) f(x) ≠ -f(x)
∴ f(x) is neither odd nor even function.
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Functions and Their Graphs
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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]
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