SOHCAHTOA
COS/SIN Points
Radian/Degree Conversion
Special Right Triangles
Angle Measure
100
Use it when you know the length of the hypotenuse and the adjacent leg.
What is Cosine?
100

COS(30)=?

sqrt(3)/2

100

What is 180 degrees in radians?

π (pi)

100
Do this when you're given the leg, but need the hypotenuse of a 45/45/90 triangle. 

Multiply the leg by √2

100

Every quadrant has...

90 degrees

200
Use it when you know the hypotenuse and the opposite leg.
What is Sine?
200

SIN(45)=?

sqrt(2)/2

200

What is 360 degrees in radians? 

2π (2pi)

200

Do this when you're given the hypotenuse, but need the leg of a 45/45/90 triangle.

Divide the hypotenuse by √2.

200

What is a half circle and a whole circle in degrees?

180 is half a circle 

360 is a whole circle

300
Use it when you know the two legs.
What is Tangent?
300

COS(135)=?

-sqrt(2)/2

300

What is 45 degrees in radians?

π/4

300

Do this when you're given the short leg, but need the hypotenuse of a 30/60/90 triangle.

Multiply the short leg by 2.

300

Clockwise direction produces...

Counter clockwise direction produces...

Clockwise-negative angles

Counterclockwise-positive angles

400
Use it when you know want to know the opposite leg and you know the measure of the angle and other leg.
What is Tangent?
400

SIN(240)=?

-sqrt(3)/2

400

What is -270 degrees in radians?

-3π /2

400

Do this when you're...

-given the short leg, but need the long leg.

-given the long leg, but need the short leg...

in a 30/60/90 triangle.

-Multiply the short leg by √3.

-Divide the long leg by √3.

400
What is the formula to convert degrees to radians?

degree x π/180

500

Use it when you want to know the opposite leg and you know the measure of the angle and hypotenuse.

What is Sine?

500

SIN(-270)=?

1

500

Describe the pattern of the angles in radians...

All 30 degree (green) angles have a denominator of 6

All 45 degree (pink) angles have a denominator of 4

All 60 degree (blue) angles have a denominator of 3

The y-axis has a denominator of 2

500
Do this when you're given the hypotenuse, but you need the long leg in a 30/60/90 triangle. 

Find the short leg first by dividing the hypotenuse by 2, then find the long leg by multiplying the short leg by √3.

500

What is the formula to convert radians to degrees?

radian x 180/π 

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