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प्रश्न
Determine whether the following function is odd or even?
f(x) = sin x + cos x
योग
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उत्तर
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
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Differential Calculus - Exercise 5.1 [पृष्ठ १०५]
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