Sprawdź czy podane równanie jest tożsamością:
(sin a + cos a)2 + (sin a - cos a)2 = 2
(sin a + cos a)² + (sin a - cos a)² = 2
L = sin²a + 2sinacosa + cos²a + sin²a - 2sinacosa + cos²a =
2sin²a + 2cos²a = 2 * (sin²a + cos²a ) = 2 * 1 = 2 = P
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(sin a + cos a)² + (sin a - cos a)² = 2
L = sin²a + 2sinacosa + cos²a + sin²a - 2sinacosa + cos²a =
2sin²a + 2cos²a = 2 * (sin²a + cos²a ) = 2 * 1 = 2 = P