+0  
 
0
48
1
avatar

Let A be an acute angle such that sin 4A = sin 5A. What is the smallest possible measure of A in degrees?

 Nov 29, 2020
 #1
avatar
0

I'm gonna correct your question first:

 

Your question: Let A be an acute angle such that sin 4A = sin 5A. What is the smallest possible measure of A in degrees?

 

Corrected question: Let A be an acute angle such that sin 4A = cos 5A. What is the smallest possible measure of A in degrees?

 

Angle A = 90 / (4 + 5)        ==>       ∠A = 10º

 

Proof:

sin 4A = sin 40º 

                                     sin 40º = cos 50º

cos 5A = cos 50º

 Nov 30, 2020

22 Online Users

avatar
avatar