Can Grade 12 Trig Questions Be Too Challenging?

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Homework Help Overview

The discussion revolves around challenging Grade 12 trigonometry problems, specifically focusing on various equations and identities involving sine and cosine functions. Participants share their attempts at solutions and seek clarification on specific questions.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Some participants suggest expanding trigonometric identities and using product-to-sum formulas to simplify expressions.
  • Others question the accuracy of the original problem statements and the existence of real solutions.
  • There are discussions about the implications of certain transformations and whether they introduce restrictions or alter the solution set.
  • Participants explore different methods to approach the problems, including graphical interpretations and algebraic manipulations.

Discussion Status

The conversation is ongoing, with various insights and hints being shared. Some participants express uncertainty about specific steps and seek further clarification, while others provide alternative perspectives on the problems. There is no explicit consensus on the solutions, but several productive lines of reasoning are being explored.

Contextual Notes

Participants note that the original problems may contain multiple questions, which could complicate the discussion. There are also references to the need for careful consideration of restrictions when manipulating equations, particularly regarding the existence of non-real roots.

  • #31


tahayassen said:

Homework Statement



http://img831.imageshack.us/img831/8389/daumequation13263429629.png

Homework Equations



No equations are required.

The Attempt at a Solution



http://img845.imageshack.us/img845/9519/34851996.png


http://img692.imageshack.us/img692/1841/24101089m.png


http://img694.imageshack.us/img694/6687/41337501.png


http://img9.imageshack.us/img9/9702/91594220.png

If sin(x)cos(x)=1, then x is not a real number. So are you looking for real numbers? If you are not, then you can use exponential forms of sin and cos.
 
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