Тригонометрия

[milena96]

sin²[tex]\alpha[/tex] + sin²[tex]\alpha[/tex] * cos²[tex]\alpha[/tex] + cos⁴[tex]\alpha[/tex]

[ptj]

[tex]sin^2\alpha+sin^2\alpha cos^2\alpha +cos^4\alpha = sin^2\alpha(1+cos^2\alpha)+cos^4\alpha=[/tex]

[tex]=(1-cos^2\alpha)(1+cos^2\alpha) +cos^4\alpha=1-cos^4\alpha+cos^4\alpha=1[/tex]