Trigonometric Identities
Easymathematics
The identity sin²θ + cos²θ equals
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Solution
Incorrect! Answer:
1
- Definition: In the unit circle, for any angle θ, the coordinates are (x,y)=(cosθ,sinθ).
- Unit Circle Equation: The equation of the unit circle is x2+y2=1.
- Substitution: Replacing x and y gives cos2θ+sin2θ=1.
- Conclusion: This is the fundamental identity valid for all real and complex values of θ.
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- trigonometric identities
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
1
- Definition: In the unit circle, for any angle θ, the coordinates are (x,y)=(cosθ,sinθ).
- Unit Circle Equation: The equation of the unit circle is x2+y2=1.
- Substitution: Replacing x and y gives cos2θ+sin2θ=1.
- Conclusion: This is the fundamental identity valid for all real and complex values of θ.
This easy difficulty mathematics question is from the chapter trigonometry, covering the topic of trigonometric identities. It appeared in the 2025 exam.
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