Pre-Cal(H) Ch 4 and 5 Review

Radian and Degree Vocab

100

What is π in degrees?

180 degrees

200

This measurement describes the length of an arc when the radius is 1?

A radian

300

A Ferris wheel rotates 135 degree. What is the radians of 135 degrees?

3π/4

400

A robot arm swings clockwise 2.82 radians from its starting position. What is this angle in degrees, rounded to the nearest degree?

160 degrees 

500

An angle in standard position ends at the point (−3,4)(−3,4). Find the angle’s measure in radians, using the inverse tangent and adjusting for the correct quadrant?

2.214 radians

Unit Circle and Right Triangles

100

This coordinate pair describes the value of (cos⁡θ, sin⁡θ) on the unit circle.

A point on a unit circle.

200

This acronym helps you remember sine, cosine, and tangent.

SOHCAHTOA

300

A kite’s string forms a 57∘ angle with the ground. If the string is 120 ft long, how high is the kite?

101ft

400

An angle ends in Quadrant II and has a reference angle of 150 degree. What is the quadrant pair?

sin⁡θ=½      cos⁡θ= -(root(3)/2)

500

A ladder leans against a wall, forming a 68∘ angle with the ground. If the base of the ladder is 4 ft from the wall, how long is the ladder?

10.7 ft

Trig Functions

100

This trig ratio equals y

Sine

200

The graph of Y=Asin(Bx) has its height determined by this parameter.

amplitude

300

A sine graph has amplitude 3 and period 4π. Write a possible equation for this graph.

y=3sin⁡(x/2)

400

The height of a buoy bobbing on water can be modeled by Height(Time)=2cos⁡(Timeπ/6)+5 (height is f and time is x) Find the period of the motion and the maximum height.

Period: 12 units; Max height: 7

500

Solve for x:

cos⁡x=−0.64

In radians to 3 decimals

2.265

Identities, Equations, & Formulas

100

What is the pythagorean theorem

a^2+b^2=c^2

200

To show two expressions match for all angles is to do this. This is called 

verifying an identity

300

Solve:

sin x =-½

In radians to 3 decimals 

X= -0.524

400

What is cos⁡68∘cos⁡25∘+sin⁡68∘sin⁡25∘? (Put calculator in degrees and round to the 2nd decimal place)

2.63

500

sin(2) if  θ=23 in radians and round the the nearest  3 decimals(Put calculator in radians)

0.902

Whats the Fun Fact?

100

True or False: Was Mr. Plata an Olympic Athlete?

True

200

What year was Palma founded?

1951

300

What was the csc originally used for?

A library 

400

Who is the English department chair? (The head of it)

Mr. Sterett

500

Who was the previous president of the school before Mr. Dalman 

Br. Dunne