Advanced Math Unit 3 - Math Terms

sin

opposite/hypotenuse

cos

adjacent/hypotenuse

tan

opposite/adjacent

csc

Hypotenuse/Opposite

sec

Hypotenuse/Adjacent

cot

Adjacent/Opposite

Quadrant 1’s values

All Positive

Quadrant 2’s values

Sin/Csc are positive, everything else is negative

Quadrant 3’s values

Tan/Cot are positive, everything else is negative

Quadrant 4’s values

Cos/Sec are positive, everything else is negative

Quadrants that SIN are limited to when finding the inverse function

Q1 and Q4

Quadrants that COS are limited to when finding the inverse function

Q1 and Q2

Quadrants that TAN are limited to when finding the inverse function

Q1 and Q4

How to convert from Degrees to Radiants

times pi/180

How to convert from Radiants to Degrees

times 180/pi

What is the opposite of sin

csc

What is the opposite of cos

sec

What is the opposite of tan

cot

tanθ =

sin/cos

cotθ =

cosθ/sinθ

sin60

√3/2

cos60

1/2

tan60

√3/1

sin30

1/2

cos30

√3/2

tan30

1/√3 = √3/3

sin45

1/√2 = √2/2

cos45

√2/2

tan45

1

pi/3

60 degrees

pi/4

45 degrees

pi/6

30 degrees

sin0

0

cos0

1

tan0

0/1 = 0

sin90

1

cos90

0

tan90

1/0 = U

sin180

0

cos180

\-1

tan180

\-0/1 = 0

sin270

\-1

cos270

0

tan270

\-1/0 = U

What coordinate is sin

y

What coordinate is cos

x