Formula to:

Change degrees to radians.

π

Formula to:

Change radians to degrees.

180

Formula for:

Relationship of radians, arc length and radius.

Θ = ^s/_r

Formula for:

Angular velocity.

ω = ^Θ/_t

Formula for:

Linear velocity.

v = rω

Definitions of:

The six trig functions.

sinΘ = ^y/_v                                      cscΘ = ^r/_y

cosΘ = ^x/_r                                     secΘ = ^r/_x

tanΘ = ^y/_x                           cotΘ = ^x/_y

Lable:

Sides of 30-60-90 and 45-45-90 right triangles.

Check with a neighbor.

Formula for:

Period of sine, cosine, secant, and cosecant graphs.

P=^2π/_{|b| (absolute value of b)}

Formula for:

Period of tangent and cotangent graphs.

P = ^π/_b

Which basic trig graphs pass through the origin?

sine, ,tangent.

Label the following axes "bearing" using 0°, 90°, 180°, and 270°.

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Label the following axes "rotational angles" using 0°, 90°, 180°, and 270°.

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cscΘ = ¹/_sinΘ

secΘ = ¹/_cosΘ

cotΘ = ¹/_tanΘ

tanΘ = ^sinΘ/_cosΘ

cotΘ = ^cosΘ/_sinΘ

sin²Θ + cos²Θ = 1

tan²Θ + 1 = sec²Θ

1 + cot²Θ = csc²Θ

sin(-Θ) = -sinΘ

cos(-Θ) = cosΘ

tan(-Θ) = -tanΘ

sin (α + β) = sinα cosβ + cosα sinβ

sin (α - β) = sinα cosβ - cosα sinβ

cos (α + β) = cosα cosβ - sinα sinβ

cos (α - β) = cosα cosβ + sinα sinβ

tan (α + β) = ^{tanα tanβ}/_{1-tanα tanβ}

tan (α - β) = ^{tanα tanβ}/_{1+tanα tanβ}

Area of a triangle.

Normal and Heron's formula.

A = ¹/₂ ab sinc

A = √s(s-a)(s-b)(s-c)

s = ^{a + b + c}/₂

Inverse Function      Positive Values    Negative Values

                arcsin                         I                      IV

                arccos                        I                      II

               arctan                         I                      IV

               arccot                         I                      II

                arcsec                        I                      II

                arccsc                        I                      IV

a + bi -----> rcisΘ

r = √a² + b²

Θ = tan^-1 y_/x

(rcisΘ)ⁿ = rⁿ cis nΘ

1. Put in trig form

2. Write as fractal power

3. Add 360 as needed for correct number of answers.

4. Apply theorem

5. Simplify