Trigonometry Jeopardy

Evaluating Trig Functions

100

Find the exact value of sin(90)

1

200

Find the exact value of cot 210 ̊.

rad3

300

If sinx=15/17 , find secx

17/8

400

Given tan θ =3/4 and sin θ <0 find sinθ and secθ

sin=-3/5

sec=-5/4

500

Find sinx and tan x if cosx=-1/2 and sinx>0

sin=rad(3)/2

tan=-rad(3)

Inverse Trig Functions

100

What does an inverse trig function solve for?

The angle. 

200

Determine and acute angle that satisfies the condition secx=2

60

300

Evaluate sin^-1(-1/2)

-30

400

sin(tan^-1(-1))

-rad(2)/2

500

Evaluate sin^-1(cos(pi/3))

60

Graphs of Functions

100

State the transformations of the function:

y=3sin(x)

highest and lowest point is 3

200

Find the period for the following:

y=4cot(5x-25)+8

2pi/5

300

Graph the following:

y=2sin2x-1

i will check 

400

Write an equation given the following information:

amplitude of 3

frequency of 2

horizontal shift left 5

vertical shift up 3

i will check

500

Graph the following:

y=cos (2x+pi/2)-3

i will check

Word Problems

100

A person is up in a hot air balloon 120 ft in the air. They look down at their car at an angle of 46 degrees. How far is the person from their car to the nearest tenth? (shortest distance)

166.8 ft

200

A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 64 degrees. How high does the ladder reach up the side of the building to the nearest foot?

13 ft

300

A radio tower is located 325 feet from a apartment complex. From a window in their apartment, a person determines that the angle of elevation to the top of the tower is 56 degrees and that the angle of depression to the bottom of the tower is 24 degrees. How tall is the radio tower to the nearest tenth?

626.5 ft

400

From the top of a 140 ft building Charlie observes a tank moving toward him. If the angle of depression of the tank changes from 22 degrees to 56 degrees during the observation, how far does the tank travel to the nearest hundredth of a foot?    

252.08 ft

500

A 350-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 17 degrees and that the angle of depression to the bottom of the monument is 6 degrees. How far is the person from the monument to the nearest foot?

852 feet

Math Grab Bag

100

What is the reference angle for 3pi/4

45

200

What are two coterminal angles to -140

220, -500, etc

300

Is x+6 a factor of f(x)=6x³+31x²-27x+18

YES

400

Solve for x:

2^x+2=8^3x+5

x=-1.625

500

Point P is on the terminal side of angle x. Evaluate the six trig functions for the angle  given the point to be P(-3,4)

sin=4/5

cos=-3/5

tan=-4/3

sec=-5/3

csc=5/4

cot=-3/4