Forum
Forums
Questions and Answe...
Algebra
Limits
Limit and trigonome...
 
Share:
Notifications
Clear all

[Solved] Limit and trigonometry

 
Limits
Last Post by Staff 4 years ago
1 Posts
1 Users
0 Reactions
266 Views
RSS
0
June 15, 2021 2:47 pm
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\lim_{a\rightarrow 0}\frac{cos5a-cos3a}{sin5a+sin3a}=?

Add a comment
1 Answer
0
June 15, 2021 2:47 pm
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\small \lim_{a\rightarrow 0}\frac{cos5a-cos3a}{sin5a+sin3a}=\frac{1-1}{0-0}=\frac{0}{0}

\small \Rightarrow \lim_{a\rightarrow 0}\frac{cos5a-cos3a}{sin5a+sin3a}=\lim_{a\rightarrow 0}\frac{-2sin4a.sina}{2sin4a.sina}

\small =\lim_{a\rightarrow 0}-\frac{sina}{cosa}=-1.

Add a comment
Forum Jump:
Next Topic  
Share: