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Which of the following is the correct identity for sin(2A)?

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Question: Which of the following is the correct identity for sin(2A)?

Options:

  1. 2sinAcosA
  2. sin^2A + cos^2A
  3. sinA + cosA
  4. sinAcosA

Correct Answer: 2sinAcosA

Solution: 

The double angle formula states that sin(2A) = 2sinAcosA.

Which of the following is the correct identity for sin(2A)?

Practice Questions

Q1
Which of the following is the correct identity for sin(2A)?
  1. 2sinAcosA
  2. sin^2A + cos^2A
  3. sinA + cosA
  4. sinAcosA

Questions & Step-by-Step Solutions

Which of the following is the correct identity for sin(2A)?
  • Step 1: Understand that 'sin(2A)' means the sine of double the angle A.
  • Step 2: Learn about the double angle formulas in trigonometry, which help us express trigonometric functions of double angles.
  • Step 3: The specific formula for sine of double an angle is 'sin(2A) = 2sinAcosA'.
  • Step 4: This means to find sin(2A), you take the sine of angle A, multiply it by the cosine of angle A, and then multiply the result by 2.
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