Trigonometric Equations
The general solution of cos θ = 1 is
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Solution
θ = 2nπ
- Point Selection: Cosine is 1 only at the point where the unit circle crosses the positive x-axis.
- Values: θ=0,2π,4π,… and counterparts in the negative direction.
- Generalization: Covers only even multiples of π.
- Formula: θ=2nπ, where n∈Z.
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- trigonometric equations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
θ = 2nπ
- Point Selection: Cosine is 1 only at the point where the unit circle crosses the positive x-axis.
- Values: θ=0,2π,4π,… and counterparts in the negative direction.
- Generalization: Covers only even multiples of π.
- Formula: θ=2nπ, where n∈Z.
This easy difficulty mathematics question is from the chapter trigonometry, covering the topic of trigonometric equations. It appeared in the 2025 exam.
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