A symmetry axis of the function y = 2Sin (2x + π / 6)

A symmetry axis of the function y = 2Sin (2x + π / 6)


2x+π/6=π/2
X = π / 6
So, an axis of symmetry is x = π / 6
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The axis of symmetry of the function y = 2Sin (2x + φ) (0 <φ<π / 2) is a straight line x = π / 12
(1) Find φ (2) and draw the diagram of function y = 2Sin (2x + φ) on 〔 - π / 6,5 π / 6 〕


1.sin(2x+φ)=+-1
0



Given y = 2Sin (2x + 30 °) + 2, find the symmetry axis and center of the function


(- Pai / 12,2) 30 degrees should be written as Pai / 6 to be qualified
Y=2SIN2(X+pai/12)+2
+Is minus - is positive, y value is unchanged, so (- Pai / 12,2)