alleryStart learning →What do the even-odd identities relate?
AThe value of a function at an angle to its value at twice that angle
BThe value of a function at an angle to its value at the complement
CThe value of a function at an angle to its value at the opposite angle
DThe value of a function at an angle to its value at the supplement
Answer & Solution
Correct answer: C. The value of a function at an angle to its value at the opposite angle
1. The even-odd identities are statements such as sin(-x) = -sin x and cos(-x) = cos x.
2. Each one links the value of a function at an angle to its value at the opposite angle, that is, at the negative of that angle.
3. Doubling the angle is the business of the double-angle formulas, and complements belong to the cofunction identities.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 9 "Trigonometric Identities and Equations", section 9.1 Solving Trigonometric Equations with Identities_
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