Basic Trig Knowledge
Finding Trig Ratios
Finding Missing Sides
Finding Missing Angles
100

What mnemonic device do we use to help us remember our trig ratios?

SOH-CAH-TOA

100

Find csc(x) if sin(x) = 4/5

5/4

100

Solve: tan(65) = x/7

15.012

100

Solve for x if sin(x) = 3/4

48.59

200

What ratio represents sine?  (Answer in terms of opposite, adjacent, and hypotenuse)

opposite / hypotenuse

200

Find cos(x) if tan(x) = 12/5

5/13

200

Solve: cos(60) = x/8

4

200

Solve for x if cos(x) = 5/13

67.38

300

What ratio represents cosine?  (Answer in terms of opposite, adjacent, and hypotenuse)

adjacent / hypotenuse


300

Find tan(x) if sin(x) = 4/5

4/3

300

sin(7) = x/3

0.366
300
Solve for x if tan(x) = 10/7

55.008

400

What ratio represents tangent?  (Answer in terms of opposite, adjacent, and hypotenuse)

opposite / adjacent
400

Find sec(x) if tan(x) = 3/4

5/4

400

cos(30) = 4/x

4.619

400

Solve for x if sin(x) = .5

30

500

What type of triangles do our trigonometric ratios work on?  (Hint: it is one of the four classifications of triangles by angle.)

Right triangles

500

Find tan(x) if sin(x) = 4/7

Exact answers only - no decimals!

sqrt33/4

500

sin(27) = 12/x

26.432

500

Solve for x if cos(x) = 2

Undefined!