Use the cofunction relationship to compare these trig values: \(\cos(12^{\circ})\) and \(\sin(78^{\circ})\).

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They are equal because 12° and 78° are complementary, so cos(12°) = sin(78°).

They are not equal because complementary angles mean sin(12°) = cos(78°), not sin(78°).

They are not equal because one expression uses cosine and the other uses sine, so the two functions cannot have the same value.

They are not equal because 12° and 78° are different angle measures, so the trig values must be different.

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Curriculum context

Course: Math II
Standard: G-SRT.7
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Explain and use the complementary-angle relationship between sine and cosine.
Problem type: Use complementary angles to compare sine and cosine values