Understanding Coterminal Angles and Trigonometric Functions

The video tutorial by Mr. Banker explores trigonometric functions of any angle, extending beyond triangles to include all angles. It introduces the concept of angles in trigonometry using initial and terminal sides, and explains how to plot angles in standard position on a coordinate grid. The tutorial covers coterminal angles, showing how to calculate them in both degrees and radians, and provides examples to illustrate these concepts.

What is the main focus of trigonometric functions in this video?

• Any angle, beyond just triangles

• Only acute angles

• Only positive angles

• Only right angles

In trigonometry, what is the initial side of an angle?

• The side where the angle starts

• The side where the angle ends

• The side opposite to the angle

• The side adjacent to the angle

How do positive angles rotate?

• Horizontally

• Clockwise

• Counterclockwise

• Vertically

What is the standard position of an angle on a coordinate grid?

• Initial side along the positive y-axis

• Initial side along the negative y-axis

• Initial side along the negative x-axis

• Initial side along the positive x-axis

What are coterminal angles?

• Angles that have the same initial side but different terminal sides

• Angles that have different initial sides but the same terminal side

• Angles that start and end at the same place but have different measures

• Angles that are always positive

How can you find a negative coterminal angle from a positive angle?

• Divide by 360 degrees

• Multiply by 360 degrees

• Subtract 360 degrees

• Add 360 degrees

What is the radian measure of a full rotation?

• 2π

• 4π

• π

• 3π

How do you find a positive coterminal angle for 30 degrees?

• Add 360 degrees

• Subtract 180 degrees

• Subtract 360 degrees

• Add 180 degrees

What is the process to find a positive coterminal angle for π/6?

• Add π

• Subtract π

• Subtract 2π

• Add 2π