Multiple Angles
Easymathematics
The formula for sin 2θ is
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Solution
Incorrect! Answer:
2 sin θ cos θ
- Derive from Addition Formula: Start with sin(A+B)=sinAcosB+cosAsinB.
- Angle Equality: Put A=θ and B=θ.
- Substitution:
- sin(θ+θ)=sinθcosθ+cosθsinθ
- sin2θ=2sinθcosθ.
- Extension: Can also be written as 1+tan2θ2tanθ.
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- multiple angles
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
2 sin θ cos θ
- Derive from Addition Formula: Start with sin(A+B)=sinAcosB+cosAsinB.
- Angle Equality: Put A=θ and B=θ.
- Substitution:
- sin(θ+θ)=sinθcosθ+cosθsinθ
- sin2θ=2sinθcosθ.
- Extension: Can also be written as 1+tan2θ2tanθ.
This easy difficulty mathematics question is from the chapter trigonometry, covering the topic of multiple angles. It appeared in the 2025 exam.
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