Prove and use sin^2(theta)+cos^2(theta)=1 to find trig values with quadrant information.
Verify whether a sine value and cosine value can belong to the same angle
Problem
Verify whether \(\sin(\theta)=3/5\) and \(\cos(\theta)=4/5\) can be values for the same angle.
Big Picture
What this problem is really about
A proposed sine-cosine pair belongs to one angle only if it lies on the unit circle. We’ll square both values exactly, add them under the Pythagorean identity, and use whether the sum equals one as the feasibility test.
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