0606/22 Feb/Mar 2025, Question 11: Solving Trig Equations
Cambridge IGCSE Additional Mathematics 0606 · Paper 22 (Calculator) · Calculator · 4 marks
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The question, in short
Solve cot(y + 1.5) = 3 for y in radians, giving all solutions in the interval 0 < y < 6.
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Solution · 4 marks
- 1tan(y + 1.5) = 1/3
- 21.5 < y + 1.5 < 7.5
- 3Principal value 0.3218 gives y = −1.178, out of range
- 4y + 1.5 = 0.3218 + π = 3.4633, so y = 1.96
- 5y + 1.5 = 0.3218 + 2π = 6.6049, so y = 5.10
Answery = 1.96, y = 5.10
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