Question

помогите упростить выражения

Answer 1

1) cos(π/3-α)+cos(π/3+α)=cosπ/3cosα+sinπ/3sinα+cosπ/3cosα-sinπ/3sinα=0.5cosα+0.5cosα=cosα
2)(sin(π+α)+cos(π/2+α))²+(cos(2π-α)-sin(3π/2-α))²=(-sinα-sinα)²+(cosα+cosα)²=4sin²α+4cos²α=4(sin²α+cos²α)=4
3) $frac{1+cos2 alpha }{1-cos2 alpha } = frac{sin^{2} alpha + cos^{2} alpha + cos^{2} alpha - sin^{2} alpha }{ sin^{2} alpha + cos^{2} alpha - cos^{2} alpha + sin^{2} alpha } = frac{ 2cos^{2} alpha }{ 2sin^{2} alpha }= ctg^{2} alpha$

Answer 2

вы через какую программу решаете?