Understanding Coterminal Angles and Radians

This 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 standard position, where the initial side is along the positive x-axis, and discusses positive and negative rotations. The video explains coterminal angles, which are angles that start and end at the same position but differ in size. It covers calculations for coterminal angles in both degrees and radians, providing examples and practice problems to reinforce understanding.

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

• Only acute angles

• Only right triangles

• Only positive angles

• Any angle, beyond just triangles

In standard position, where is the initial side of an angle placed?

• Along the negative y-axis

• Along the positive x-axis

• Along the negative x-axis

• Along the positive y-axis

What are coterminal angles?

• Angles that are equal in measure

• Angles that are always negative

• Angles that are always positive

• Angles that have the same initial and terminal sides but different measures

How do you find a negative coterminal angle for a given angle in degrees?

• Subtract 360 degrees

• Subtract 180 degrees

• Add 180 degrees

• Add 90 degrees

What is the measure of a full rotation in radians?

• 3π radians

• 2π radians

• π radians

• 4π radians

How do you convert 135 degrees to radians?

• π/4

• π/2

• 2π/3

• 3π/4

What is the positive coterminal angle of 30 degrees?

• 300 degrees

• 120 degrees

• 60 degrees

• 390 degrees

How do you find a positive coterminal angle for π/6 in radians?

• Add π

• Subtract π

• Add 2π

• Subtract 2π

What is the negative coterminal angle of π/6?

• -7π/6

• -5π/6

• -π/6

• -11π/6

How can you find multiple positive coterminal angles?

• By adding 180 degrees multiple times

• By subtracting 180 degrees multiple times

• By subtracting 360 degrees multiple times

• By adding 360 degrees multiple times