Triaditional Solutions
Cartesian Triads
Smile and Wave, boys
To a Radiant Degree
100
Yo mama so big, I can see the top of her head with an angle of elevation of 54 degrees. If I am standing 7 feet from her and my eyes are 5.5 feet off the ground, how tall is your mother? Round to 2 decimals
tan54=x/7
9.63+5.5=15.14 ft
15.14 ft
100
tantheta=-4/3
Which quadrants is theta in?
2 & 4
100
In your own words describe Period and Phase Shift
Period: How long it takes a sine wave to repeat itself
Phase shift: Horizontal shift, determines where the wave starts
100
Convert 316 ^@ to radians
316*pi/180=(79pi)/45
200
Solve for angle P
sin39/28=sinR/41
R=67.147^@
P=73.853^@
200
If theta=90^@ , find:
sintheta
sectheta
tantheta
sintheta=1
sectheta=und
tantheta=und
200
Draw a penguin sliding down a hill
200
Convert (11pi)/12 to degrees
(11pi)/12*180/pi=165^@
300
If theta=30^@ , find csctheta and
tantheta
csctheta=2
tantheta=1/\sqrt3=\sqrt3/3
300
If
tan\theta=\sqrt3
, find theta
theta=60^@,240^@
300
Assume the graph is a sine wave. What is the period?
Period=(4pi)/3
300
Find one positive and one negative angle that are coterminal to
(5pi)/4
(13pi)/4,(-3pi)/4
400
Mr. Chong and your mom just robbed a bank and are making their getaway! Mr. Chong runs 10 miles north, while yomama sprints 14 miles southeast at an angle of 120° from Mr. Chong.
To escape the cops, they need to quickly figure out how far apart they are from each other. How far is the distance between yo mama and Mr. Chong?
10^2+14^2-2*10*14*cos(120)=b^2
20.88 Miles apart
400
theta goes through the point (4,-6)
Find in simplest radical form:
sintheta
cottheta
sintheta=-3/(\sqrt13)=(-3\sqrt13)/13
cottheta=-2/3
400
Give the phase shift and amplitude of g(x)
g(x)=2cos(4x-pi)-3
Phase Shift: c/b
Phase Shift:
pi/4
Amplitude: 2
400
Given
sin\theta=6/10
find
sec\theta
sectheta=10/8=5/4