Which of the following options gives an expression equivalent to sin(A + B)?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. cos A cosB − sin A sin B
  2. sin A cos B + cos A sin B
  3. cos A cos B + sin A sin B
  4. sin A cos B − cos A sin B

Answer (Detailed Solution Below)

Option 2 : sin A cos B + cos A sin B
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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The question is based on the direct formula,

The formula is as follow,

⇒ Sin (A + B) = sin A cos B + cos A sin B

∴ The correct option is 2.

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