Solving trigonometric equations graphically CKI

The solutions to the equation can be found by plotting the graphs of y = sin(x) and y = cos(3x) on the same set of axes and identifying their intersection points.

To solve graphically, plot y = sin(x) and y = -cos(3x) on the same graph and find the x-values where the two curves intersect.

This equation represents the points where the sine function is three times the cosine function. Graphically, plot y = sin(x) and y = 3cos(x) and find their intersection points.

This equation indicates the angles where the sine function takes the value of -1/2, which occurs in the third and fourth quadrants.

Rearranging gives $$\text{sin} 2x = 1$$ . The sine function equals 1 at $$2x = 90^\text{o} + 360^\text{o}k$$ , where k is an integer. Thus, solve for x to find the number of solutions.

This equation can be solved by plotting y = -2cos(x) and y = 3sin(x) and finding their intersection points.

This equation indicates the angles where the cosine function equals -1/2, which occurs in the second and third quadrants.

Plot y = sin(x) and y = cos(x) on the same graph and find the x-values where the two curves intersect.

This equation shows a relationship where the sine function is equal to the cosine function scaled by a factor of 3 in the x variable.

Graph y = sin(x) and y = -cos(3x) and find the x-values where the two graphs intersect.