Compound Angles
Easymathematics
The formula for sin(A + B) is
Select the correct option:
Solution
Incorrect! Answer:
sin A cos B + cos A sin B
- Addition Theorem: The sine of a sum can be expressed in terms of the sines and cosines of the individual angles.
- Result: sin(A+B)=sinAcosB+cosAsinB.
- Mnemonic: Sine 'shares' the terms (s⋅c+c⋅s) and keeps the sign (+ stays +).
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About This Question
- Subject
- mathematics
- Chapter
- trigonometry
- Topic
- compound angles
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
sin A cos B + cos A sin B
- Addition Theorem: The sine of a sum can be expressed in terms of the sines and cosines of the individual angles.
- Result: sin(A+B)=sinAcosB+cosAsinB.
- Mnemonic: Sine 'shares' the terms (s⋅c+c⋅s) and keeps the sign (+ stays +).
This easy difficulty mathematics question is from the chapter trigonometry, covering the topic of compound angles. It appeared in the 2025 exam.
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