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What is the value of 2sin(θ)cos(θ)?

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

Options:

  1. sin(2θ)
  2. cos(2θ)
  3. tan(θ)
  4. sec(θ)

Correct Answer: sin(2θ)

Solution: 

By the double angle identity, 2sin(θ)cos(θ) = sin(2θ).

What is the value of 2sin(θ)cos(θ)?

Practice Questions

Q1
What is the value of 2sin(θ)cos(θ)?
  1. sin(2θ)
  2. cos(2θ)
  3. tan(θ)
  4. sec(θ)

Questions & Step-by-Step Solutions

What is the value of 2sin(θ)cos(θ)?
Correct Answer: sin(2θ)
  • Step 1: Understand the expression 2sin(θ)cos(θ).
  • Step 2: Recall the double angle identity for sine, which states that sin(2θ) = 2sin(θ)cos(θ).
  • Step 3: Apply the double angle identity to rewrite 2sin(θ)cos(θ) as sin(2θ).
  • Step 4: Conclude that the value of 2sin(θ)cos(θ) is equal to sin(2θ).
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