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G-SRT.6 Warmup M2-051-A11-V03

Define trigonometric ratios for acute angles using right-triangle similarity.

Verify both sine-cosine cofunction identities

Problem

Angles \(A\) and \(B\) are complementary in a right triangle, so the side opposite \(A\) is adjacent to \(B\) and the side adjacent to \(A\) is opposite \(B\). Use these exchanged roles to write \(\text{both}~\text{cofunction}~\text{identities}\).

Prompt diagram of a right triangle with complementary acute angles A and B. A leg opposite angle A is adjacent to angle B, the other leg reverses roles, and the identities are withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.6
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Define trigonometric ratios for acute angles using right-triangle similarity.
Problem type
Verify both sine-cosine cofunction identities