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What is the value of sin² θ + cos² θ? (2021)

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Question: What is the value of sin² θ + cos² θ? (2021)

Options:

  1. 0
  2. 1
  3. 2
  4. sin² θ

Correct Answer: 1

Exam Year: 2021

Solution: 

According to the Pythagorean identity, sin² θ + cos² θ = 1 for any angle θ.

What is the value of sin² θ + cos² θ? (2021)

Practice Questions

Q1
What is the value of sin² θ + cos² θ? (2021)
  1. 0
  2. 1
  3. 2
  4. sin² θ

Questions & Step-by-Step Solutions

What is the value of sin² θ + cos² θ? (2021)
  • Step 1: Understand that sin² θ means 'sine of angle θ squared'.
  • Step 2: Understand that cos² θ means 'cosine of angle θ squared'.
  • Step 3: Recall the Pythagorean identity, which states that for any angle θ, the sum of sin² θ and cos² θ equals 1.
  • Step 4: Therefore, when you add sin² θ and cos² θ together, you get 1.
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