Can Grade 12 Trig Questions Be Too Challenging?

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SUMMARY

The discussion centers around the complexity of Grade 12 trigonometry questions, particularly focusing on specific problems involving identities and equations. Participants provide detailed solutions and hints, utilizing trigonometric identities such as the product-to-sum identities and angle addition formulas. The conversation highlights the challenges students face, including the potential for non-real solutions in certain equations, and emphasizes the importance of verifying solutions against original equations.

PREREQUISITES
  • Understanding of trigonometric identities, including sine and cosine functions.
  • Familiarity with angle addition and double angle formulas.
  • Basic knowledge of complex numbers and hyperbolic functions.
  • Experience with solving equations involving trigonometric functions.
NEXT STEPS
  • Study the product-to-sum identities in trigonometry.
  • Learn about complex numbers and their applications in trigonometric equations.
  • Explore hyperbolic trigonometric functions and their properties.
  • Practice solving Grade 12 level trigonometric equations with a focus on verifying solutions.
USEFUL FOR

Students preparing for Grade 12 mathematics, educators teaching advanced trigonometry, and anyone interested in mastering trigonometric identities and equations.

  • #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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