Trigonometry Equations
Gr 11

The Grade 11 Trigonometric Equations module develops learners’ ability to solve equations involving the sine, cosine, and tangent functions within specified domains. This chapter strengthens algebraic reasoning and introduces the systematic methods required to handle trigonometric expressions confidently.

Learners begin by revising the basic trigonometric ratios and the unit circle definitions before moving on to solving equations of the form
sin⁡θ=k\sin \theta = ksinθ=k,
cos⁡θ=k\cos \theta = kcosθ=k, and
tan⁡θ=k\tan \theta = ktanθ=k.
The lessons cover general solutions, principal angles, and the interpretation of solutions within different intervals. Students also learn to solve more complex trigonometric equations involving multiples of angles, basic identities, and algebraic manipulation. Emphasis is placed on understanding the periodic nature of trigonometric functions and presenting solutions accurately using correct notation.

By the end of this module, learners will be able to solve trigonometric equations confidently, interpret solutions across specified domains, and apply trigonometric relationships effectively in both theoretical and applied contexts—preparing them for advanced trigonometry and calculus in Grade 12.