Trigonometry Review Game - Marco Chieffallo

Triangles

100

The angle of a right triangle with a opposing side length of 12 and a adjacent side length of 5

What is 67^o?

200

The area of a triangle with sides 19m, 21m, and 34m

What is 178.80m²?

300

The other angle(s) and side(s) of a triangle 

Alpha = 30^o

Side A = 2m

Side C = 5m

(Law of Sines)

What is no solution?

400

The other angle(s) and side(s) of a triangle 

Alpha = 120^o

Beta = 55^o

Side C = 3m

(Law of Sines)

What is

Side A = 29.81m

Side B = 28.20m 

Gamma = 5^o

500

The remaining angle(s) and side(s) of a triangle 

Alpha = 60^o

Side B = 8m

Side C = 3m

(Law of Cosines)

What are?

Side A = 7m

Beta = 81.79^o

Gamma = 38.21^o

Polar Coordinates

100

Given (2, 1pi/4), two additional polar coordinates that fit the same point

follow:

(-r, theta)

(r, -theta)

What are?:

(-2, 5pi/4)

(2, -7pi/4)

200

The rectangular coordinates of the polar coordinates (5, pi/6) 

What is (4.33, 2.50)?

300

The rectangular equation from the polar equation 

r = 3cos(theta) 

What is (x-1.5)² + y² = 2.25?

400

Given the rectangular equation 3x + 7y = 5, the relating polar equation 

What is r = 5/(3cos(theta) + 7sin(theta))?

500

Given the polar equations r = 5cos(theta) and 

r = 2+ cos(theta), the intersecting polar coordinates 

What are?:

(2.5, pi/3)

(2.5, 5pi/3)

Unit Circle

100

The Cosine of 0

1

200

The Sin of pi/6

1/2

300

The tan of 3pi/2

Undefined

400

The remaining trig functions of a triangle with sin(3/5) that is in Q1

What are?:

Cos(4/5)

Tan(3/4)

Csc(5/3)

Sec(5/4)

Cot(4/3)

500

The remaining trig functions of a triangle in Q4 with trig function sec(9/7)

What are:

sin (√32/9)

Cos (7/9)

Tan (√32/7)

Csc (9/√32)

Sec (9/7)

Cot (7/√32)

Graphing Trig Functions

100

Baseline is solved by

Adding (max y - min y)/2

200

Given 2sin(pi + 5x), the period is

What is (2pi)/5 

300

Given 2sin(pi + 5x), the phase shift is

-pi/5

400

The domain and range of tan

What is

D: {x l x =/= pi/2 + 2kpi}

R: (-infinity, infinity)

500

Given:      The equation using sin is

A = 4

Phi = -2pi

Omega = -3

B = 12

-4sin(3x +2pi) + 12

Vectors

100

The sum of vectors A<-3, 4> and B<7,-2>

What is <4, 2>?

200

The product of vectors A<-3, 4> and B<7,-2> in the equation llAll x B

What is <35, -10>?

300

The component form ( <a,b> ) of vector a which has a length of 24 and makes an angle south 13^o of west.

What is <-23.38, -5.40>?

400

The true vector of a boat that is travelling N9^oE at 41mph, with a water vector of 5 mph west

What is <1.41, 30.62>?

500

The magnitude of the speed and the direction of a plane that flies 227 miles in half an hour at N34^oW with wind blowing from the northeast at 29 mph.

What are: 

449.37mph and N37.63^oW