Graphical Solution of Trigonometric Equations

The video tutorial demonstrates how to solve a trigonometric equation graphically using a graphing calculator. It guides viewers through setting the calculator to radian mode, entering the equation, adjusting the graphing window, and finding the first two positive radian solutions by identifying points of intersection. The tutorial concludes by noting the infinite nature of solutions for the equation.

What is the first step in solving a trigonometric equation graphically using a calculator?

• Adjust the window settings

• Find the intersection points

• Enter the equation in degree mode

• Set the calculator to radian mode

Which function should be entered in Y1 for the given trigonometric equation?

• x^2 + 5

• cos x

• 2 sin x - 6 sin x

• 5

What should be the range for X Min and X Max in the window settings?

• 0 to 14

• -7 to 7

• -5 to 5

• -10 to 10

What is the purpose of adjusting the Y Min and Y Max in the graphing calculator?

• To adjust the graph's thickness

• To change the graph's color

• To ensure the graph fits within the screen

• To zoom in on the graph

What is the next step after graphing the equations to find the solutions?

• Adjust the window settings again

• Change the calculator to degree mode

• Identify the points of intersection

• Re-enter the equations

Which calculator function is used to find the intersection points?

• Graph

• Calculate

• Zoom

• Trace

What is the approximate value of the first positive radian solution?

• 4.71 radians

• 2.68 radians

• 3.47 radians

• 1.57 radians

How many times do you press enter to find the first intersection point?

• Four times

• Three times

• Twice

• Once

What is the approximate value of the second positive radian solution?

• 2.68 radians

• 4.71 radians

• 3.47 radians

• 5.12 radians

What is the nature of solutions for trigonometric equations?

• Single

• None

• Infinite

• Finite