Need Help in Proving Trig Identities

Click For Summary
SUMMARY

This discussion focuses on proving trigonometric identities, specifically the equations involving secant, tangent, cotangent, and sine functions. The identities presented are: sec(θ) + tan(θ) = tan(θ)sec(θ) and sin²(θ) - tan(θ) = tan²(θ) - cos²(θ) - cot(θ). The participant expresses difficulty in starting the proofs despite understanding fundamental identities, highlighting the importance of showing work in mathematical discussions for effective assistance.

PREREQUISITES
  • Understanding of trigonometric identities
  • Familiarity with fundamental trigonometric functions (secant, tangent, cotangent, sine)
  • Basic algebraic manipulation skills
  • Knowledge of the Pythagorean identity
NEXT STEPS
  • Study the proofs of fundamental trigonometric identities
  • Practice algebraic manipulation of trigonometric functions
  • Explore the Pythagorean identity and its applications
  • Learn how to use the unit circle to derive trigonometric identities
USEFUL FOR

Students struggling with trigonometry, educators teaching trigonometric identities, and anyone looking to strengthen their understanding of mathematical proofs in trigonometry.

coolshah
Messages
3
Reaction score
0
Hi all


Teacher gave me homework that i am having trouble doing it ..

i need help in these two problems which i can't seem to solve.

how can i prove the following :

@= theta

sec@ + tan@ = tan@sec@
cot@ + cos@


and

sin^2@ - tan@= tan^2@
COS^2@ - cot@



my try is in the attach file
 

Attachments

  • work.jpg
    work.jpg
    34.6 KB · Views: 509
Last edited:
Physics news on Phys.org
Well, what have you tried? You must show some work before we can help you. What happened to the homework posting template in which one is supposed to write one's attempts?
 
cristo said:
Well, what have you tried? You must show some work before we can help you. What happened to the homework posting template in which one is supposed to write one's attempts?


Dear,

i have done my other homework problems but except these two. as i stated i can't solve. Due to the fact i don't know where to start. i do know my Fundamental identities.
 
ok here this is what i tried after what u have said
 

Attachments

  • work.jpg
    work.jpg
    34.6 KB · Views: 666
Last edited:

Similar threads

Proving trig identities -- Is the method related to the unit circle?
  • · Replies 54 ·
2
Replies
54
Views
4K
To prove a trigonometric identity with tan() and cot()
  • · Replies 2 ·
Replies
2
Views
2K
Trig Identities - Pre-calculus in a Nutshell - Section 4 Question 1
  • · Replies 24 ·
Replies
24
Views
3K
Why Is My Argument Calculation for Complex Number Incorrect?
  • · Replies 14 ·
Replies
14
Views
2K
Prove the trigonometry identity and hence solve given problem
  • · Replies 5 ·
Replies
5
Views
2K
Trig Identities -- example problem confusion
  • · Replies 10 ·
Replies
10
Views
2K
Trig Identities: Simplifying Expressions with Cotangent, Secant, and Cosecant
  • · Replies 17 ·
Replies
17
Views
3K
How to Solve a Trigonometry Equation Using Identities and Alternative Methods?
  • · Replies 7 ·
Replies
7
Views
2K
Trig identities (I think?) for precalc review
  • · Replies 5 ·
Replies
5
Views
2K
Verify the Trigonometric Identity
  • · Replies 15 ·
Replies
15
Views
2K