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G-SRT.7 Warmup M2-052-A02-V04

Explain and use the complementary-angle relationship between sine and cosine.

Rewrite sine of an acute angle as cosine of its complement

Problem

Compute the complement of \(68°\) and use \(\sin(θ)=\cos(90°-θ)\) to rewrite \(\sin(68°)\) as a cosine expression.

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Four variants of this problem type
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
Rewrite sine of an acute angle as cosine of its complement