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MTH 122 Trigonometry and Analytical Geometry

ND1 levelEngineering & Technology15 topics

MTH 122 covers 15 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Trigonometric identities and product-sum transformations
  2. Sine and cosine rules
  3. Solution of triangles
  4. Angles of elevation and depression
  5. Bearings, heights and distances
  6. Half-angle formulae
  7. Inverse trigonometric functions
  8. Circular measure and radian-degree conversion
  9. Arc length, sectors, segments and chords
  10. Surface areas and volumes
  11. Simpson’s rule and mid-ordinate rule
  12. Cartesian and polar coordinate systems
  13. Straight lines and their equations
  14. Locus and intersection of lines
  15. Circles and equations of circles

A sample from this course

One topic, as StudyPath teaches it.

Trigonometric identities and product-sum transformations

Trigonometric identities and product‑sum transformations are the backbone of simplifying trigonometric expressions and solving equations in engineering mathematics. Mastery of these identities—Pythagorean, angle‑addition/subtraction, double‑angle, half‑angle, and product‑to‑sum—enables students to rewrite complex expressions into simpler forms, a skill repeatedly tested in the NUC CCMAS, NBTE, and NCCE exams.

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