Given: Point (@, y) on circle C with radius ~ centered at the origin on the coordinate plane containing central angle / in Quadrant I, as she Given: Right triangle with angle 0, side lengths & and y and hypotenuse T. Prove: sin 0 + cos' 0 = 1 Statements Reasons Point (@, y) on circle C with radius ~ centered at the origin on the coordinate plane containing central angle o Given in Quadrant I Right triangle with angle 0, side lengths & and y and A. hypotenuse T. B. Pythagorean Theorem cos 0 = ~ ; sin 0 = Definition of sine and cosine r cos # = x; T sine = y C. (cos 0)2 + (r sin 0)= =72 Substitution D. Simplify re (cos' 0 + sin? 0) = 12 Factor out the GCF sin 0 + cos' 0 = 1 E