Sin²α+cos²α= 1Since SIN α = HYPOTENUSE / PERPENDICULAR COS α = Base/PerpendicularTherefore, sin²α+cos²α= (Perpendicular²/Hypotenuse²)+(Base²/Hypotenuse²)= (Perpendicular²+Base²)/Hypotenuse²=Hypotenuse²/Hypotenuse²= 1
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