- #1
synergix
- 178
- 0
Homework Statement
lim t3/tan32t
t->0
The Attempt at a Solution
I am stuck I have a lot of trouble with trig identities
Trig Identity Limit: Solving Trig Identities with Difficulty
In summary, the conversation discusses finding the limit of t3/tan32t as t approaches 0. The suggested solution involves using L'hôpital's rule or rewriting tan2t as sin2t/cos2t. The final answer is 1/6.
lim t3/tan32t
t->0
I am stuck I have a lot of trouble with trig identities
- #2
Bohrok
- 867
- 0
Do you know L'hôpital's rule? That might be the easiest way. If not, rewrite tan2t as sin2t/cos2t first. cos(2*0) won't cause a problem, but the t and sin2t will. See if you can get it to look like sin2t/t.
- #3
synergix
- 178
- 0
lim= 2*t*2*t*2*t*cos32t/2*sin2t*2*sin2t*2*sin2t\
so all the 2*t cancel the sin2t leaving cos32t/2*2*2 so limit=1/6
is this correct??
so all the 2*t cancel the sin2t leaving cos32t/2*2*2 so limit=1/6
is this correct??
- #4
Bohrok
- 867
- 0
2*2*2=8, not 6. 
- #5
synergix
- 178
- 0
haha you wow. :)
FAQ: Trig Identity Limit: Solving Trig Identities with Difficulty
What are trig identities and why are they important?
Trig identities are mathematical expressions that involve trigonometric functions such as sine, cosine, and tangent. They are important because they allow us to simplify complex trigonometric equations and solve problems in various fields such as physics, engineering, and astronomy.
What is a trig identity limit?
A trig identity limit is a mathematical concept that involves finding the value of a trigonometric expression as a variable approaches a certain limit. It is used to solve difficult trig identities that cannot be simplified using basic trigonometric identities.
How do I solve trig identities with difficulty?
To solve trig identities with difficulty, you need to use a combination of algebraic manipulation, trigonometric identities, and the concept of trig identity limits. It is important to have a good understanding of basic trigonometry and the properties of trigonometric functions.
What are some common challenges when solving trig identities?
Some common challenges when solving trig identities include identifying the correct trig identity to use, knowing which algebraic manipulation steps to take, and determining the appropriate trig identity limit to use. It also requires a lot of practice and patience to become proficient in solving trig identities.
How can I improve my skills in solving trig identities?
The best way to improve your skills in solving trig identities is to practice regularly and familiarize yourself with common trigonometric identities. You can also seek help from a tutor or join a study group to get a better understanding of the concepts and techniques used in solving trig identities.