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If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?

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Question: If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?

Options:

  1. Pythagorean Identity
  2. Double Angle Identity
  3. Sum Formula
  4. Product Formula

Correct Answer: Double Angle Identity

Solution: 

This is known as the Double Angle Identity for sine.

If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?

Practice Questions

Q1
If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
  1. Pythagorean Identity
  2. Double Angle Identity
  3. Sum Formula
  4. Product Formula

Questions & Step-by-Step Solutions

If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
  • Step 1: Look at the equation given: sin(2θ) = 2sin(θ)cos(θ).
  • Step 2: Identify that this equation relates the sine of double an angle (2θ) to the sine and cosine of the original angle (θ).
  • Step 3: Recognize that this is a special formula used in trigonometry.
  • Step 4: Understand that this formula is called the Double Angle Identity for sine.
  • Double Angle Identity – This identity expresses the sine of double an angle in terms of sine and cosine of the angle itself.
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