Sin theta= sin theta tan theta

  • Thread starter Coco12
  • Start date
  • #1
272
0
Problem statement
Solve each equation over the domain theta greater than or equal to 0, less than or equal to 2 pi:

Sin theta= sin theta tan theta

Revelant equations

Problem statement

I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third quadrant. So from there I solve accordingly. Is this right?
 

Answers and Replies

  • #2
21,157
4,672
Problem statement
Solve each equation over the domain theta greater than or equal to 0, less than or equal to 2 pi:

Sin theta= sin theta tan theta

Revelant equations

Problem statement

I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third quadrant. So from there I solve accordingly. Is this right?
What about the sinθ?
 
  • #3
35,004
6,756
Coco12 said:
I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third quadrant. So from there I solve accordingly. Is this right?
No.
When you divide both sides by sinθ, you lose solutions. Instead, rewrite the equation like so -
sinθ - sinθ tanθ = 0
and then factor the left side.
 
  • #4
272
0
No.
When you divide both sides by sinθ, you lose solutions. Instead, rewrite the equation like so -
sinθ - sinθ tanθ = 0
and then factor the left side.

Oh... I see it now.
 

Related Threads on Sin theta= sin theta tan theta

Replies
3
Views
611
Replies
7
Views
442
  • Last Post
Replies
2
Views
28K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
4K
  • Last Post
Replies
5
Views
12K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
7
Views
2K
Replies
6
Views
5K
Replies
1
Views
3K
Top