Video-Coterminal Angles

Determining Coterminal Angles

Math 10, 20, 30 level.

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Math 20, 30

Unit Circle - Video

The Unit Circle

Using the reference angle to determine the coordinates of different quadrants.

Unit Circle Vid

Math 30

Initial Projectile Velocities

Converting Velocities into its X and Y Components

projectile diaghram

Whenever a vector is given at angles other than 0o, 90o, 180o, 270o, or 360o, the vector just be broken into its X and Y components.

For the example above, the velocity of the projectile is 45 m/s at 30o to the horizon.
By using trig functions, we get the following setup:

Trignometric function set up of Projectile

Vx

cos 30o = Vx/45

Vx = 45cos(30o)

Vx = 38.9 m/s


Vy

sin 30o = Vy/45

Vy = 45 sin(30o)

Vy = 22.5 m/s

Whenever a question gives vectors at an angle, remember to convert the initial vector into its X and Y components by using trigonometric functions.

Trig Function Review

Here’s a quick review of trigonometric functions.

On the following diagram:
A=angle
opp=oppsite side to A
adj=adjacent side to A
hyp=hypothenuse

pure math 10 20 30

sin(A) = (opp)/(hyp)

cos(A) = (adj)/(hyp)

tan(A) = (opp)/(adj)