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What is the value of sin^2(θ) + cos^2(θ)?

Practice Questions

Q1
What is the value of sin^2(θ) + cos^2(θ)?
  1. 1
  2. 0
  3. sin(θ)
  4. cos(θ)

Questions & Step-by-Step Solutions

What is the value of sin^2(θ) + cos^2(θ)?
Correct Answer: 1
  • Step 1: Understand what sin(θ) and cos(θ) are. They are functions that relate to angles in a right triangle.
  • Step 2: Recall the Pythagorean identity, which is a fundamental relationship in trigonometry.
  • Step 3: The Pythagorean identity states that for any angle θ, sin^2(θ) + cos^2(θ) equals 1.
  • Step 4: Therefore, when you add sin^2(θ) and cos^2(θ), the result is always 1.
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