Test 1

Question 1

When is an angle quadrantal

Answer 1

If the terminal side is on an axis

Question 2

Where is the Minute/Second notation for degrees on the calculator

Answer 2

Under apps, in the angles section (‘ or ‘’)

Question 3

How do you turn 45°10’15’’ into degrees

Answer 3

Multiply the 10’ by 1/60 (bc min) and the 15’’ by 1/3600 (bc seconds) and add to 45° to get ~45.1708

Question 4

How to turn 21.256 to DMS form

Answer 4

Multiply the .256 by 60 & round to get 15. Take the decimal that was on the 15 and multiply that by 60; round to get 22 to get: 22°15’22’’

Question 5

what does one radian look like?

Answer 5

It’s the angle on a unit circle where the arc length & radius both equal 1

Question 6

How should you format your test answers??

Answer 6

NO DECIMALS UNLESS SPECIFIED (even leave sqrts)

Question 7

Circle sector area formula

Answer 7

A = πr²/2 * (x°/360°)

Question 8

linear speed of circular moving object w/ variable explanation

Answer 8

v = s/t: v = linear speed, s = distance, t = time

Question 9

Angular speed of circular moving object w/ variable explanation

Answer 9

ω = θ/t: ω = angular speed, θ = angle the object makes going around the circle; t = time

Question 10

How are v & ω related? (hint: 4 steps to reach it) w/ variable explanation, & 2 resulting formulas

Answer 10

v = s/t = rθ/t = rω: linear speed = distance/time = (radius * central angle)/time = radius * angular speed
So: linear = radius * angular, and angular = linear/radius

Question 11

how to find cscθ

Answer 11

Cosecant: hyp/opp or 1/sinθ

Question 12

how to find secθ

Answer 12

Secant: hyp/adj or 1/cosθ

Question 13

2 ways to handle sqrts on test

Answer 13

Don’t expand them; rationalize them

Question 14

2 Comp. Angle Theorem (CAT) formulas and which angles they come from on the triangle

Answer 14

sinβ = cos α
tanβ = cot α
both of the angles other than the 90° one, which add up to 90°

Question 15

Measures for 45-45-90 triangle

Answer 15

1-1-√2

Question 16

Measures for 30-60-90 triangle

Answer 16

1-√3-2

Question 17

what do π/3, π/4, & π/6 equal?

Answer 17

30°, 45°, 60°

Question 18

Arc Length Formula

Answer 18

a = rθ: a = arc length, r = radius, θ = central angle

Question 19

2 Quotient Identities

Answer 19

tanθ = sinθ/cosθ and cotθ = cosθ/sinθ

Question 20

Pythagorean Identity

Answer 20

(sinθ)² + (cosθ)² = 1

Question 21

angle of elevation

Answer 21

angle w/ rays straight out from eye and diagonal up to object

Question 22

angle of depression

Answer 22

angle w/ ray straight out from one eye and diagonal down to object

Question 23

what does “point on graph of” mean on the HW?

Answer 23

(angle put through the function, what it equals after) or (x, cos(x))

Question 24

domain & range for sin

Answer 24

ARN; -1 to 1

Question 25

D & R for cos

Answer 25

ARN; -1 to 1

Question 26

D & R for tan

Answer 26

ARN except odd multiples of π/2; ARN

Question 27

D & R for csc

Answer 27

ARN except any multiple of π; all but from -1 to 1

Question 28

D & R for sec

Answer 28

ARN except odd multiples of π/2; all but from -1 to 1

Question 29

D & R for cot

Answer 29

ARN except any multiple of π; ARN

Question 30

periods for sin & cos

Answer 30

2π

Question 31

period for tan

Answer 31

π