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What is the value of sin(2θ) in terms of sin θ?

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Question: What is the value of sin(2θ) in terms of sin θ?

Options:

  1. 2sin θ
  2. 2sin θcos θ
  3. sin^2 θ
  4. 2sin^2 θ

Correct Answer: 2sin θcos θ

Solution: 

Using the double angle formula, sin(2θ) = 2sin θcos θ.

What is the value of sin(2θ) in terms of sin θ?

Practice Questions

Q1
What is the value of sin(2θ) in terms of sin θ?
  1. 2sin θ
  2. 2sin θcos θ
  3. sin^2 θ
  4. 2sin^2 θ

Questions & Step-by-Step Solutions

What is the value of sin(2θ) in terms of sin θ?
  • Step 1: Understand that sin(2θ) is the sine of double the angle θ.
  • Step 2: Recall the double angle formula for sine, which states that sin(2θ) = 2sin(θ)cos(θ).
  • Step 3: Identify that this formula shows how to express sin(2θ) using sin(θ) and cos(θ).
  • Step 4: Conclude that the value of sin(2θ) in terms of sin(θ) is 2sin(θ)cos(θ).
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