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What is the value of sin^2(θ) + cos^2(θ)?
What is the value of sin^2(θ) + cos^2(θ)?
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Practice Questions
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Q1
What is the value of sin^2(θ) + cos^2(θ)?
1
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sin(θ)
cos(θ)
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By the Pythagorean identity, sin^2(θ) + cos^2(θ) = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of sin^2(θ) + cos^2(θ)?
Solution:
By the Pythagorean identity, sin^2(θ) + cos^2(θ) = 1.
Steps: 4
Show Steps
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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