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What is the value of sin 2θ?

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Question: What is the value of sin 2θ?

Options:

  1. 2sin θ cos θ
  2. sin^2 θ + cos^2 θ
  3. sin θ + cos θ
  4. 2sin^2 θ

Correct Answer: 2sin θ cos θ

Solution: 

The double angle formula states that sin 2θ = 2sin θ cos θ.

What is the value of sin 2θ?

Practice Questions

Q1
What is the value of sin 2θ?
  1. 2sin θ cos θ
  2. sin^2 θ + cos^2 θ
  3. sin θ + cos θ
  4. 2sin^2 θ

Questions & Step-by-Step Solutions

What is the value of sin 2θ?
  • Step 1: Understand that 'sin 2θ' means the sine of double the angle θ.
  • Step 2: Learn the double angle formula for sine, which is 'sin 2θ = 2sin θ cos θ'.
  • Step 3: Identify the values of 'sin θ' and 'cos θ' if they are given or needed.
  • Step 4: Substitute the values of 'sin θ' and 'cos θ' into the formula 'sin 2θ = 2sin θ cos θ'.
  • Step 5: Calculate the result to find the value of 'sin 2θ'.
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