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Question

1)tg(x/2-pi/3)=1
2)2sin^x-5sinx+2=0
3)2cos^5x-sin5xcos5x-sin^5x=0
4)2sinx+3cosx=3
5)sin7x-sinx=cos4x

Answer 1

1) x/2-pi/3=arctg1=pi k
x/2=pi/4+pi/3=pi k
x/2=7pi/12+pi k
x=7pi/6+pi k