Odd function or even function?
Exercise and reference answers
- Items
- Item
- sin(−x) = −sin x
- Category
- Odd: f(−x) = −f(x)
- Item
- sine
- Category
- Odd: f(−x) = −f(x)
- Item
- cos(−x) = cos x
- Category
- Even: f(−x) = f(x)
- Item
- cosine
- Category
- Even: f(−x) = f(x)
- Categories
- Item
- Odd: f(−x) = −f(x)
- Item
- Even: f(−x) = f(x)
Explanation
sin reverses sign with x; cos does not.
That single fact settles many sign questions.
Source: syllabus Maths, Ch 3 Trigonometric Functions.
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