Angles \(θ\) and \(φ\) are the complementary acute angles of a right triangle. Express \(φ\) in terms of \(θ\) and write the sine-cosine cofunction identity that follows.

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φ = 90° − θ, so sin(θ) = sin(φ) because the angles are complementary.

φ = 90° − θ, so sin(θ) = cos(φ) because the angles are complementary.

φ = θ, so sin(θ) = cos(θ) because the angles are equal.

φ = 90° − θ, so sin(θ) = cos(θ) because the same angle is used.

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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: Relate a contextual complement through one cofunction equation