Prove and use sin^2(theta)+cos^2(theta)=1 to find trig values with quadrant information.
Simplify a trigonometric expression using the Pythagorean identity
Problem
Simplify trig expression \(\sin^2(\theta)+\cos^2(\theta)\) using the Pythagorean identity.
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What this problem is really about
Identity simplification starts by matching the entire expression’s structure, not by manipulating its terms separately. We’ll recognize the complete sum of the two squared trig functions and replace that whole pattern with its angle-independent identity value.
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