Unit 7 Math

sin θ

opposite / hypotenuse

cos θ

adjacent / hypotenuse

tan θ

opposite / adjacent

csc θ

hypotenuse / opposite

sec θ

hypotenuse / adjacent

cot θ

adjacent / opposite

reciprocal of sin θ

csc θ

reciprocal of cos θ

sec θ

reciprocal of tan θ

cot θ

Side a is

Opposite

Side b is

Adjacent

Side c is

Hypotenuse

To convert from degrees to radians

180/π

To convert from radians to degrees

π/180

Formula for Circular Arc Length

S = rθ

Area of a Circular Sector

A = ½ r² θ

Unit Circle: Sinθ

y

Unit Circle: Cosθ

x

Unit Circle: Tanθ

y/x

Unit Circle: Cscθ

1/y

Unit Circle: Secθ

1/x

Unit Circle: Cotθ

x/y

What is the degrees symbol?

°

What is the minutes symbol?

′

What is the seconds symbol?

′′

How do the quadrants rotate?

Counter-Clockwise

Reciprocal Identities: cotθ =

1/tanθ

Reciprocal Identities: cscθ =

1/sinθ

Reciprocal Identities: secθ =

1/cosθ

Reciprocal Identities: tanθ =

1/cotθ

Reciprocal Identities: sinθ =

1/cscθ

Reciprocal Identities: cosθ =

1/secθ

Radian Definition

The measure of a central angle θ that intercepts an arc (s) equal in length to the radius (r) of the circle