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Use sum and difference formulas to solve:
sin (x+ π/4) +1=sin (π/4 – x)
x = 3π/4 , 5π/4
x = 5π/4 , 7π/4
x = 7π/4 , π/4
3 sin (π/2 –x) = -3
x=π
x = π/3
cos (π/2 - x)= 1/2
x = π/3 , 5π/3
4 sin (x+ π/3) = 2 tan (π/3)
x = 0 , π/3
2 sin (x+ π/3)=tan(π/3)
x = 0, π/3
2 sin (x+ π/4) +2 = 2 sin (π/4 – x)
Use sum and difference formulas to solve: sin(x) = 32\sin\left(x\right)\ =\ \frac{\sqrt{3}}{2}sin(x) = 23
x = 4π/3 , 5π/3
x= 3π/2
Sin(x+ π/3)+sin(x- π/3)=1
x= π/2
sin (π/2 - x)= -1
x = π
cos (π/2 + x) =tan tan π/4
x = 3π/2
It is done.