Math CentralQuandaries & Queries


Question from san, a student:

To solve the equation 2sinx+square root 3=0, what feature of the graph, in the form y=asinx+b would show the solution? Draw a graph to show the solution. thanks.

Hi San.

The equation is almost already in the form y = asinx + b. y is zero, b is square root of 3, and a is 2.

Since y is zero, can you identify where on a graph y is equal to zero? When the curve crosses the x-axis, y is equal to zero. So at each place where the graph crosses the x-axis, the value of x is a solution of the equation you wrote.

Stephen La Rocque.

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