Trigonometric Equations
The general solution of sin θ = 0 is
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Solution
θ = nπ
- Unit Circle Check: Sine is zero at the horizontal points on the circle.
- Values: θ=0,π,2π,3π,… and also −π,−2π,….
- Generalization: All integer multiples of π.
- Result: θ=nπ, where n∈Z (an integer).
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- trigonometric equations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
θ = nπ
- Unit Circle Check: Sine is zero at the horizontal points on the circle.
- Values: θ=0,π,2π,3π,… and also −π,−2π,….
- Generalization: All integer multiples of π.
- Result: θ=nπ, where n∈Z (an integer).
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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