1) Cos (x/2-Пи/4)=1/2 2) Sin (5x/3+Пи/4)=-√3/2

Question

1) Cos (x/2-Пи/4)=1/2
2) Sin (5x/3+Пи/4)=-√3/2

Answer 1

1) x/2-pi/4=pi/3+2pin
x/2=pi/3+pi/4+2pin
x/2=7pi/12+2pin
x=14pi/12+4pin

2) 5x/3+pi/4=pi/3+pin
5x/3=pi/3-pi/4+pin
5x/3=pi/12+pin
x=3pi/60+3pin/5