Trigonometry

Pithagorean theorem / prim trig ratios

100

What is the Tangeant Ratio?

Tanθ=opposite/adjacent

200

What can you use to find a missing side length when you have a 90° angle and 2 other side lengths?

What is Pythagoreom Theorum.

300

What is the side length of b in ∆ABC?

What is approx. 4.540cm

400

∆DEF is a right angle triangle and is missing e. What is the length of e?

What is approx 76.315

500

∆ABC is missing

What is approx 41.186*.

Sin / Cosine law

100

When given side lengths a and b, as well as

What is Cosine Law

200

When given that in ∆ABC,

What is a/(sin56°)=502/(sin72°)

300

Solve for side lenght c in ∆ABC.

What is approxamatly 12.657cm

400

Solve for

500

A theif named Andrew gets shot by 2 cops, the bullets met in his stomach at a 20° angle. Cop 1, Bill, was 25m away when he shot Andrew, and cop 2, Carie, was 40 m away from andrew. How far apart were the cops when they shot Andrew.

What is approx. 14.541m apart

Sinosudial function

100

A Sinusoidal function with the equation of the axis of y=34 and has an amplitude of 16, what is the peak and the trough?

What is 50 and 18

200

What transformation occurs in the following sinusoidal equation, f(x)=sin(x-90)

What is a horizintal translation 90 units right

300

In the general form of the sine function, f(x)=asin(x-c)+d, what do the c and d values do?

C-values are horizontal translations, a positive c value will move the curve right, and a negative will move it left, however since the equation is (x-c) a positive c value would resemble (x-c) and a negative will resemble (x+c) D-values are vertical translations, positive is up, negative is down

400

Arthur owns a fun park and wants to build a new ferris wheel, their is an already build structure that can be used to hold up the ferris wheel (by the middle) it is 16m high. Aurthur wants the ride to beat the record for highest ferris wheel which is 38m. Can Arthur claim this title using the already existing structure?

What is NO in order to have a peak of 39 or more the amplitude would have to be at least 23m which would have a trough of -7.

500

Create an input-output diagram and list the transformations for the following equation. f(x)=4sin(x+180)-2

(x) Input→[+180°]→[sin]→[×4]→[-2]→Output (f(x)) ① Horizontal translation 180 units left. ② Vertical stretch by a factor of 2. ③Vertical translation 2 units down.

Trigonometry Application

100

Jensen has a sqaure garden ABCD with a perimiter of 64 feet. He wants to divide it into 2 eqaul parts going from corner B-D. How much fence does he have to buy?

What is approx 22.627 feet.

200

Nicky has a slice of pizza ABC and notices how each side and angle is a different. He starts messure the slice and find out

What is approx 10.142 cm long.

300

Miss Wong wanted to give the class a day off from class and brought them to the circus. Miss Wong being a ninja, tried to sneak some math into the feild trip and said "The amplitude of the ferris wheels is 20m and it makes one full rotion in 40 seconds. Who ever gets the closest to the circumference and speed will win a cotton candy!". Andrew guessed 126m and 3.1 m/s, Emma guessed 130m and 3.25 m/s and finally Holden guessed 126m and 3.25 m/s. Who was right?

What is Andrew was the closest and won the cotton candy!

400

One soccer play was standing in spot A and kicked two balls in different diretions on a 50* angle. The first ball went 10m and landed at point B. From point B to point C where the second ball landed was 21m and a 87* angle. How far was the second ball kicked?

What is approx 27.376 m.

500

Nicky and andrew are arguing over which set of information will help you more in a sinossudial question on ferris wheels. Nicky beleives that having all the work to find the speed of the ferris wheels is important. Andrew thinks having the period and amplitide is the most important. Who is correct?

What is both of them. Nicky and Andrew are both correct.