The Pythagorean Theorem states that for a right-angled triangle 4ABC, as in figure, a2 =b2 + c2. Use this equation to prove that sin2 θ + cos2 θ = 1

Question

The Pythagorean Theorem states that for a right-angled triangle 4ABC, as in figure, a2 =b2 + c2. Use this equation to prove that sin2 θ + cos2 θ = 1
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Solution 1

Sure, let's prove that sin²θ + cos²θ = 1 using the Pythagorean theorem.

Step 1: In a right-angled triangle, let's denote the sides as follows:

  • The side opposite to angle θ as 'b'
  • The side adjacent to angle θ as 'c'
  • The hypotenuse as 'a'

Step 2: According to the Pythagorean theorem, we have Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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