Part 3- Sum and Difference Formulas Choose two of the three identities to prove. sin(a-B) 8. cos a cos B = tan a - tan B 7. tan(2n- x) = - tan x %3D | 9. cos(a + B) cos(a - B) = cos? B - sin? a HINT: You will use cos? a = 1- sin? a and sin? B = 1- cos? B %3D |
Part 3- Sum and Difference Formulas Choose two of the three identities to prove. sin(a-B) 8. cos a cos B = tan a - tan B 7. tan(2n- x) = - tan x %3D | 9. cos(a + B) cos(a - B) = cos? B - sin? a HINT: You will use cos? a = 1- sin? a and sin? B = 1- cos? B %3D |
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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![## Part 3 – Sum and Difference Formulas
**Instructions:** Choose two of the three identities to prove.
1. \( \tan(2\pi - x) = -\tan x \)
2. \( \frac{\sin(\alpha - \beta)}{\cos \alpha \cos \beta} = \tan \alpha - \tan \beta \)
3.
\[ \cos(\alpha + \beta) \cos(\alpha - \beta) = \cos^2 \beta - \sin^2 \alpha \]
**HINT:** You will use \(\cos^2 \alpha = 1 - \sin^2 \alpha\) and \(\sin^2 \beta = 1 - \cos^2 \beta\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F231fae22-ac62-4382-9eb0-95d912af77d1%2F2d321d3c-138a-4816-b3e9-c9f1340e1306%2Fk6pxae.jpeg&w=3840&q=75)
Transcribed Image Text:## Part 3 – Sum and Difference Formulas
**Instructions:** Choose two of the three identities to prove.
1. \( \tan(2\pi - x) = -\tan x \)
2. \( \frac{\sin(\alpha - \beta)}{\cos \alpha \cos \beta} = \tan \alpha - \tan \beta \)
3.
\[ \cos(\alpha + \beta) \cos(\alpha - \beta) = \cos^2 \beta - \sin^2 \alpha \]
**HINT:** You will use \(\cos^2 \alpha = 1 - \sin^2 \alpha\) and \(\sin^2 \beta = 1 - \cos^2 \beta\).
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