Algebra 2 - Chapter 14 Flashcards Preview

School > Algebra 2 - Chapter 14 > Flashcards

Flashcards in Algebra 2 - Chapter 14 Deck (17):
1

how to find the amplitude of sine and cosine functions (2)

a = |a|

always positive

2

graph transformations for sine, cosine, tangent, and cotangent functions (how to determine what is a and b)

y = asinbx
y = acosbx
y = atanbx
y = acotbx

3

how to find the period of sine and cosine functions

P = (2π/ |b|)

* |b| = | b |

4

what does a indicate?

vertical stretch, if |a| > 1
vertical compression, if 0 < |a| < 1

if a < 0, then the graph is reflected across the x-axis

5

frequency (3)

number of cycles in a given unit of time

measured in Hertz (Hz) --> 1 cycle / sec.

frequency = 1 /period (= to the reciprocal of the period)

6

format of the transformations of trig. functions

label variables

y = asinb(x-h)+k

a = amplitude
b = period
h = phase shift
k = vertical shift

7

rules for phase shift

left = +
right = -

8

how to find the x-intercepts

use phase shift (use based on positive or negative value) and then add nπ, where n is an integer

9

parent functions for the trig functions

y = ?x

ex. y = sinx, cosx, etc.

10

when is the tangent function undefined ?

when θ = (π/2) + πn, where n is an integer

11

how to find the period for tangent and cotangent graphs

P = π / |b|

12

how to locate the asymptotes for tangent and cotangent graphs

X = [π/2|b|] + [πn/ |b|], where n is an integer

13

how to find the amplitude for tangent, cotangent, secant and cosecant graphs

amplitude = undefined

14

trig and reciprocal pairs (3)

sine and cosecant (sine + csc)
cosine and secant (cos + sec)
tangent and cotangent (tan + cot)

15

Pythagorean theorem in terms of fundamental trig identities (2)

x^2 + y^2 = r^2

(x^2 / r^2) + (y^2 / r^2) = 1

16

how to find reference angle

180 - #

360 - #

17

how to find r

r = √x^2 + y^2