Помогите решить sinx+sin3x cosy+cos5y sinx-sin3x cos2z+cos4z. Created by irinuhk. matematika-ru

Sinx + sin3x = 2cosy + cos5y = 2sinx - sin3x = cos2z + cos4z = 2cos3z*cosz

Помогите решить sinx+sin3x cosy+cos5y sinx-sin3x cos2z+cos4z...

June 2022 1 22 Report

Помогите решить
sinx+sin3x
cosy+cos5y
sinx-sin3x
cos2z+cos4z

Answers & Comments

kovalenina Sinx + sin3x = 2 $sin \frac{x+3x}{2} cos \frac{x-3x}{2} = 2sin2x*cos(-x)= 2sin2x*cosx$
cosy + cos5y = 2 $cos \frac{y+5y}{2} *cos \frac{y-5y}{2} = 2cos3y*cos2y$
sinx - sin3x = $2sin(-x)*cos2x=-2sinx*cos2x$
cos2z + cos4z = 2cos3z*cosz

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