An angle of depression is \(α=62°\), and \(β\) is its acute complement in the right triangle. Calculate \(β\) and write the cosine-sine cofunction identity relating the \(\text{two}~\text{angles}\).

Answer choices

Choose your path.

Preview only

β = 62°, so cos(62°) = sin(62°) because the angles are equal.

β = 28°, so cos(62°) = sin(28°) because the angles are complementary.

β = 118°, so cos(62°) = sin(118°) because the angles are supplementary.

β = 28°, so cos(62°) = cos(28°) because the angles are complementary.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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