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Mathematics · Grade 11 CAPS

Trigonometry

Trigonometry is one of 10 topics in the Grade 11 Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. Which of these correctly states the reduction formula for sin(180 - x)?

Answer: sin(180-x) = sin(x) — For an angle (180-x), sin(180-x) = sin(x), since this angle lies in quadrant 2 where sine is positive.
Easy

2. Using sin(150) = sin(180-30) = sin(30), evaluate sin(150 degrees).

Answer: 0.5 — sin(30 degrees) = 0.5, so sin(150 degrees) = sin(30 degrees) = 0.5.
Medium

3. Using cos(240) = cos(180+60) = -cos(60), evaluate cos(240 degrees).

Answer: -0.5 — cos(60 degrees) = 0.5, and cos(180+x) = -cos(x), so cos(240 degrees) = -cos(60 degrees) = -0.5.
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