Misc Trig
Graph 1. What is the radius of the polar equation graphed?
3
Sin(0) = ?
Solve in radians
sin(0) = 0
y=sin(x), sketch the graph
look at answer sheet for graph
Look at the triangle on the sheet and find line BC
BC = 11.503
Convert to Rectangular
x=3t
y=4+t
y=4+(x/3)
tan(pi/4) = ?
Solve in radians
tan(pi/4) = 1
pi/4 = 2 root 2 , 2 root 2
2 root 2 / 2 root 2 = 1
look at graph sheet
Find the equation
y=-4cos(x)+5
Look at the shape on the sheet and find line AC , and <DAC
<DAC = 73.4 deg
AC = 8.72
Convert to rectangular then polar
x=7t+4
y=3t+3
y=3((x/7)+4)+3
r=15/(7sin(theta) - 3cos(theta))
cos^-1(root3/2) = ?
Solve in radians
cos^-1(root3/2) = pi/6
y=-tan(pi/4(x-2))+6
sketch the equation
look at graph sheet for sketch
Look at the shape on the sheet and find lines AB and FB
AB = 3.1
FB = 1.066
Theta|r Find a polar equation for the following
0 5 table in Quadrants 2 and 3
pi/4 -5.3
pi/2 6
3pi/4 5.3
pi 7
5pi/4 5.3
3pi/2 6
7pi/4 -5.3
2pi 5
r=6-cos(theta)
cos = - in Q2 and Q3
-cot(11pi/6)
solve in radians
-cot(11pi/6) = -root3/3
cot = 1/tan
-cot = tan
tan(11pi/6) = ((-1/2)/(root3/2)) = -root3/3
y=7sec(3/4(x-pi/2))+3
sketch the graph
look at graph sheet for answer
Look at the shape on the sheet and find lines CG and AG as well as angles BDA and DEF
CG = 12.8
AG = 8.3
<BDA = 55.5 deg
<DEF = 63.7 deg
Using the given form, create a T table and a graph your results using t values through -3 and 3
e.x. 3,2,1 ... -3
x=14t-3
y=2t
t | x | y
-3 -45 -6
-2 -31 -4
-1 -17 -2
0 -3 0
1 11 2
2 25 4
3 34 6
csc^-1(-root3/2) = ?
solve in radians
csc = 1/sin
1/sin^(-root3/2) = + or - 0.95, 4.09, 5.33
Sarah and James are on an adventure at the amusement park. THey decide to ride the Ferris Wheel, which has a diameter of 30 meters and completes a full revolution in 40 seconds. Saying they get on the ferris wheel at the bottom, 5 meters above the ground, draw a sketch of a sinusoidal graph matching that of the ferris wheel and give an equation for that graph.
y=-15cos(pi/20(x)) + 5
check sheet for graph
Look at the shape on the sheet and find line BE, <BEC and <BCA
BE = 11.6
<BEC = 120.8 deg
<BCA = 41.6 deg