A few days ago
Prove that cosecA + cotA = 1/(cosecA-CotA) provings that A exists?
This has got me stumped has got me stumped, how can just changins the sign and putting it under 1 equal the same thing? i tried this ended up writing loads of stuff not knowing which direction to go in, and still not fuinding a solution.
Thank you to everyone who is willing to help me
Top 1 Answers
A few days ago
Favorite Answer
when ever you want to prove a trig identity, you start with the most complicated side of the equality
first note
sin²a = 1 – cos²a
divide both sides of this by sin²a gives
1 = csc²a – cot²a………(*)
you probably learnt this rule in class
next to prove
cscA + cotA = 1/(cscA-cotA)
you need to use a very common trick in maths which is multiplying by 1 (in disguise)
in this case you multiply
1/(cscA-cotA) by
(cscA + cotA) / (cscA + cotA) which is 1 in disguise
proof
1/(cscA-cotA)
= 1/(cscA-cotA) * (cscA + cotA) / (cscA + cotA)
= (cscA + cotA) / (cscA – cotA)(cscA + cotA)
= (cscA + cotA) / (csc²A – cot²A)
= (cscA + cotA) / 1 …………. by (*)
= (cscA + cotA)
end proof
.
1
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles