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17 of 17 Consider angles A, B, and C such that cos Acos 217", tan Btan 298°, sin C sin 7° where 0° SAS 360°,0" Suppose that A 217", B The value of A+B+Cis 210 434° 143⁰ 556° B≤ 360°,0 ≤CS 360°. 298", and CT

17 of 17 Consider angles A, B, and C such that cos Acos 217", tan Btan 298°, sin C sin 7° where 0° SAS 360°,0" Suppose that A 217", B The value of A+B+Cis 210 434° 143⁰ 556° B≤ 360°,0 ≤CS 360°. 298", and CT

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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Hello. Please help me understand the attached solution to the attached question.  Why use 360 with cos and 180 with tan and sin.  Thanks, 

 

17 of 17 Consider angles A, B, and C such that cos A = cos 217", tan B = tan 298°, sin C sin 7° where 0° SA≤ 360°,0° ≤B≤360°,0 ≤C≤ 360°. Suppose that A 217, B #298°. and CT The value of A+B+Cis 210° 434° 143° 556°
Transcribed Image Text:17 of 17 Consider angles A, B, and C such that cos A = cos 217", tan B = tan 298°, sin C sin 7° where 0° SA≤ 360°,0° ≤B≤360°,0 ≤C≤ 360°. Suppose that A 217, B #298°. and CT The value of A+B+Cis 210° 434° 143° 556°
Step 2 We have, cos A = cos 217° cos A = cos (360° - 143°) cos A = cos (143°) ⇒ A= 143° tan B = tan 298° tan B = tan (180° + 118°) tan B = tan (118⁰) ⇒ B= 118° sin C = sin 7° sin C = sin (180° - 173⁰) ⇒ sin C = sin (173) ⇒ C = 173° Now, A + B + C = 143° + 118° + 173⁰ ⇒A+B+C = 434° Hence, the right option is B) 434° Answer (Answer)
Transcribed Image Text:Step 2 We have, cos A = cos 217° cos A = cos (360° - 143°) cos A = cos (143°) ⇒ A= 143° tan B = tan 298° tan B = tan (180° + 118°) tan B = tan (118⁰) ⇒ B= 118° sin C = sin 7° sin C = sin (180° - 173⁰) ⇒ sin C = sin (173) ⇒ C = 173° Now, A + B + C = 143° + 118° + 173⁰ ⇒A+B+C = 434° Hence, the right option is B) 434° Answer (Answer)
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How does "COSA = Cos360-143" turn into "COSA=Cos143"?  Is it because COS360 is positive that it just cancels/zeros out?

Do you have a lesson plan regarding this? The teacher didn't teach this but its a question in my homework.  

 

 

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