Question

Sin^4+sin^2 * cos^2+ cos^2 =1
Докажите тождество

Answer 1

Sin^4 + sin^2 * cos^2 + cos^2 = 1

sin^2 * (sin^2 + cos^2) + cos^2 = 1

sin^2 * 1 + cos^2 = 1

1 = 1

P.S. sin^2 + cos^2 = 1 - основное тригонометрическое тождество