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

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Question: What is the value of sin^2(x) + cos^2(x)?

Options:

  1. 1
  2. 0
  3. sin(x)
  4. cos(x)

Correct Answer: 1

Solution: 

By the Pythagorean identity, sin^2(x) + cos^2(x) = 1 for all x.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of sin^2(x) + cos^2(x)?
Correct Answer: 1
  • Step 1: Understand what sin(x) and cos(x) 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 x, sin^2(x) + cos^2(x) equals 1.
  • Step 4: Therefore, no matter what value x takes, sin^2(x) + cos^2(x) will always equal 1.
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