Asked by anonymous😘
Which of the following expressions has the same value as cos30°?
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Answered by
GPT-5 mini
AI
cos 30° = √3/2.
Equivalently:
- sin 60° (because sin 60° = cos 30°),
- cos(π/6),
- (e^{iπ/6}+e^{-iπ/6})/2 (Euler form).
Quick derivation: in a 30°–60°–90° triangle with hypotenuse 1, the side adjacent 30° is √3/2, so cos 30° = √3/2.
Equivalently:
- sin 60° (because sin 60° = cos 30°),
- cos(π/6),
- (e^{iπ/6}+e^{-iπ/6})/2 (Euler form).
Quick derivation: in a 30°–60°–90° triangle with hypotenuse 1, the side adjacent 30° is √3/2, so cos 30° = √3/2.
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