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1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.) Bi U Font Family -AA- A FE K sin(2a) = 2 sin(a) cos(a) cos(2a)= 1-2 sin² (a) + √ 囲 All changes saved You learned the double angle identities in the lesson content. The double-angle identities are used when we want to simplify a trig expression. Similarly, you can use the half-angle identities to simplify trig expressions. These identities are also useful in engineering and physics concepts.

1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.) Bi U Font Family -AA- A FE K sin(2a) = 2 sin(a) cos(a) cos(2a)= 1-2 sin² (a) + √ 囲 All changes saved You learned the double angle identities in the lesson content. The double-angle identities are used when we want to simplify a trig expression. Similarly, you can use the half-angle identities to simplify trig expressions. These identities are also useful in engineering and physics concepts.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
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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1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.) B i U Font Family AAA = E D +√ All changes saved You learned the double angle identities in the lesson content. The double-angle identities are used when we want to simplify a trig expression. Similarly, you can use the half-angle identities to simplify trig expressions. These identities are also useful in engineering and physics concepts. sin (2a) = 2 sin(a) cos(a) cos(2a) = 1 — 2 sin² (a)
Transcribed Image Text:1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.) B i U Font Family AAA = E D +√ All changes saved You learned the double angle identities in the lesson content. The double-angle identities are used when we want to simplify a trig expression. Similarly, you can use the half-angle identities to simplify trig expressions. These identities are also useful in engineering and physics concepts. sin (2a) = 2 sin(a) cos(a) cos(2a) = 1 — 2 sin² (a)
2. Use your knowledge of the half-angle and double-angle identities to simplify the following: (4 sin(2a)) - (2 sin(2a)) (4 sin²(a))
Transcribed Image Text:2. Use your knowledge of the half-angle and double-angle identities to simplify the following: (4 sin(2a)) - (2 sin(2a)) (4 sin²(a))
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个 Solution For 2a = 80⁰, sin(2a) = 2sin(a)cos(a) cos(2a)= 1-2sin²(a)
Transcribed Image Text:个 Solution For 2a = 80⁰, sin(2a) = 2sin(a)cos(a) cos(2a)= 1-2sin²(a)
1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.)
Transcribed Image Text:1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the half-angle identities work using your chosen angle and half of that angle. (For example if I choose 71°, then I'll be proving the identity for 71° and half of 71°, which is 35.5°.)
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