Question 19

Explanation

Given the trigonometric function graph

Determining the Function Equation

Let the graph equation be $y = \sin(2x + 60^\circ)$

Verify with several points

For $x = 0$

For $x = 15^\circ$

For $x = 60^\circ$

Verification of Intersection Points

We obtain the intersection points

which match the graph.

Therefore, the equation of the trigonometric function graph is $y = \sin(2x + 60^\circ)$