Trig Jeopardy

Misc Trig

100

Graph 1. What is the radius of the polar equation graphed?

3

200

Convert to Rectangular

x=3t

y=4+t

y=4+(x/3)

300

Convert to rectangular then polar

x=7t+4

y=3t+3

y=3((x/7)+4)+3

r=15/(7sin(theta) - 3cos(theta))

400

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

500

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

Equation Solving

100

Sin(0) = ?

Solve in radians

sin(0) = 0

200

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

300

cos^-1(root3/2) = ?

Solve in radians

cos^-1(root3/2) = pi/6

400

-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

500

csc^-1(-root3/2) = ?

solve in radians

csc = 1/sin

1/sin^(-root3/2) = + or - 0.95, 4.09, 5.33

Trig Graphing

100

y=sin(x), sketch the graph

look at answer sheet for graph

200

look at graph sheet 

Find the equation

y=-4cos(x)+5

300

y=-tan(pi/4(x-2))+6

sketch the equation

look at graph sheet for sketch

400

y=7sec(3/4(x-pi/2))+3

sketch the graph

look at graph sheet for answer

500

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

Trig Solving

100

Look at the triangle on the sheet and find line BC

BC = 11.503

200

Look at the shape on the sheet and find line AC , and <DAC 

<DAC = 73.4 deg 

AC = 8.72

300

Look at the shape on the sheet and find lines AB and FB 

AB = 3.1 

FB = 1.066

400

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

500

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