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In Euclidean geometry, the sum of the angles Î± + Î² + Î³ is equal to two right angles (180Â° or Ï radians). This allows determination of the third angle of any triangle as soon as two angles are known. should IMHO be: In Euclidean geometry, the sum of the internal angles is a straight angle. This allows determining the amplitude of the third internal angle of any triangle once the amplitudes of the others are known. Similar confusions exist between segments and their lengths.
A2.A.76: Angle Sum and Difference Identities 4: Apply the angle sum and difference formulas for trigonometric functionsAnswer Section 1 ANS: 5665If sin A ï½ 513 and A is a positive acute angle, cos A ï½ 1213. If cos B ï½ 45 and B is a positive acute angle, sin B ï½ 35. REF: 060312b 2 ANS: 6365If sin x ï½ 1213 and x is an acute angle, cos x ï½ 513. If cos y ï½ 35 and y is an acute angle, sin y ï½ 45. . REF: 080316b 3 ANS: 6365REF: 018620siii 4 ANS: ï­3365REF: 069020siii 5 ANS: ï­3365REF: 089432siii 6 ANS: 3365cos(A ï­ B)ï½ 513EEAAAAAAËÂ¯ËËËËËËï­513ÃªÃ«Ã¡Ã¡Ã¡Ã¡Ã¡Ã¡ËÂ¯ËËËËËËï« 35EEAAAAAAËÂ¯ËËËËËË 35ÃªÃ«Ã¡Ã¡Ã¡Ã¡Ã¡Ã¡ËÂ¯ËËËËËËï½ï­1213eeaaaaaaËï« 1213ÃªÃ«Ã¡Ã¡Ã¡Ã¡Ã¡Ã¡Ëï½ 45EEAAAAAAË: 45ÃªÃ«Ã¡Ã¡Ã¡Ã¡Ã¡Ã¡Ë. 1565 4865 3365ref 011214a2