Compare these exact trigonometric values from special triangles: \(\cos30\) and \(\cos60\).

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cos 60 is greater than cos 30 because cos 60 = sqrt(3)/2 and cos 30 = 1/2, and sqrt(3)/2 is greater than 1/2.

cos 30 is greater than cos 60 because cos 30 = sqrt(3)/2 and cos 60 = 1/2, and sqrt(3)/2 is greater than 1/2.

cos 30 and cos 60 are equal because they come from the same 30-60-90 triangle, so their cosine ratios must match.

cos 60 is greater than cos 30 because 1/2 is greater than sqrt(3)/2 when the denominators are the same.

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Curriculum context

Course: Math II
Standard: G-SRT.8.1
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Derive and use trig ratios for 30-60-90 and 45-45-90 special right triangles.
Problem type: Compare exact trigonometric values from special right triangles