Express the 6 trigonometric ratios as they relate to the sides of right triangles drawn on the plane. (In other words, SOH CAH TOA.)Express the 6 trigonometric ratios as they relate to the sides of right triangles drawn in a circle of radius r, centered at the origin. This is a specific extension of your answer in part 1.How are the points on the unit circle related to your explanation in part 2? That is, what happens in the specific case when r = 1? This idea is one of the foundations of Trig.Describe the relationship between the special 30°-60°-90° and 45°-45°-90° triangles, the unit circle (with radians), and reference angles. Reference angles are very important in Trigonometry. Spend some time thinking about your response to this part of the prompt. Essentially, I am asking you to pull together the connections between angles on the plane and the unit circle. Your goal is to cover all related/important concepts. Including a concrete example is helpful in clarifying your understanding.

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11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Express the 6 trigonometric ratios as they relate to the sides of right triangles drawn on the plane. (In other words, SOH CAH TOA.)
Express the 6 trigonometric ratios as they relate to the sides of right triangles drawn in a circle of radius r, centered at the origin. This is a specific extension of your answer in part 1.
How are the points on the unit circle related to your explanation in part 2? That is, what happens in the specific case when r = 1? This idea is one of the foundations of Trig.
Describe the relationship between the special 30°-60°-90° and 45°-45°-90° triangles, the unit circle (with radians), and reference angles. Reference angles are very important in Trigonometry. Spend some time thinking about your response to this part of the prompt. Essentially, I am asking you to pull together the connections between angles on the plane and the unit circle. Your goal is to cover all related/important concepts. Including a concrete example is helpful in clarifying your understanding.

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