Help with Core 3 Level Trigonometry Question

  • Thread starter Thread starter CathyLou
  • Start date Start date
  • Tags Tags
    Core
Click For Summary
SUMMARY

The forum discussion centers on simplifying the expression tan(2x)/(1 - tan²(2x)). The user, Cathy, seeks assistance with a C3 level trigonometry problem, ultimately aiming to express the given equation in a simpler form. The correct simplification is confirmed to be (1/2)tan(4x), utilizing the identity tan(2A) = (2tan(A))/(1 - tan²(A)). This identity is crucial for transforming the original expression.

PREREQUISITES
  • Understanding of trigonometric identities, specifically tan(2A) = (2tan(A))/(1 - tan²(A))
  • Familiarity with the concept of simplifying trigonometric expressions
  • Knowledge of the C3 level trigonometry curriculum
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the derivation and applications of the double angle formula for tangent
  • Practice simplifying complex trigonometric expressions using identities
  • Explore additional trigonometric identities relevant to C3 level problems
  • Review examples of C3 level trigonometry questions and their solutions
USEFUL FOR

Students studying C3 level mathematics, particularly those focusing on trigonometry, as well as educators seeking to enhance their teaching methods in this subject area.

CathyLou
Messages
173
Reaction score
1
Hi.

Could someone please explain to me the following C3 level trigonometry question? I would really appreciate any help as I am completely stuck at the moment.

Express tan2x/(1 - ((tan^2)2x)) in a more simple form.

The answer in the back of the textbook is (1/2)tan4x.

Thank you.

Cathy
 
Physics news on Phys.org
remember that [tex]tan2A=\frac{2tanA}{1-tan^2A}[/tex]

does what you have look similar to that form?
 

Similar threads

Core 3 Level Help - Solve ln (2y - 1) = 1 + ln (3 - y)
  • · Replies 12 ·
Replies
12
Views
4K
Integration problem ∫1/(√3 sinx+ cosx) dx
  • · Replies 8 ·
Replies
8
Views
2K
Express (x + 4)/(2x^2 + 3x + 1) - 2/(2x + 1)
  • · Replies 5 ·
Replies
5
Views
2K
Help with Trigonometry: Solving sinx + sin(x/2) = 0
  • · Replies 1 ·
Replies
1
Views
4K
Finding Range of f(x) = (2x - 3) / (x - 2): Help Needed
  • · Replies 1 ·
Replies
1
Views
3K
Indeterminate Limits (L'Hopitals Rule)
  • · Replies 5 ·
Replies
5
Views
4K
How Do You Convert Cartesian Vectors to Cylindrical Coordinates?
  • · Replies 16 ·
Replies
16
Views
2K
Express arcsin x in terms of y
  • · Replies 7 ·
Replies
7
Views
8K
Find, in terms of pi, the solutions of the equation sin5x + sin x = 0
  • · Replies 1 ·
Replies
1
Views
2K
Gradient Vector is Orthogonal to the Level Curve
  • · Replies 6 ·
Replies
6
Views
3K