Chapter 6 review

Three basic trig functions and their reciprocals

Sin ~ Csc Cos ~ Sec Tan ~ Cot

Is the sin of 5pi/4 positive or negative?

negative

Find the reference angle of -4pi/3.

pi/3

Find the reference angle of 7pi/4.

pi/4

Find the reference angle of 11pi/6.

pi/6

Is the cos of 275 degrees postitive or negative?

positive

Is the sec of -330 degrees positive or negative?

positive

Find the missing information: s=1.5, r=?, theta= pi/4

r=6/pi

Sec(45 degrees)

square root of 2

Using reference angles and ASTC evaluate the following w/o calculator: cos(-pi/6)

square root of 3/2

Find the missing information: S=3m, r=1m, theta=?

theta= 3 radians

tan(90 degrees)=?

undefined

sin(2pi)=?

0

List side lengths of a 45-45-90 triangle from shortest to longest

1,1, square root of 2

Tan(theta)

Sin(theta)/Cos(theta)

Convert to radians: 1.) 135 degrees 2.) 225 degrees 3.) 330 degrees 4.) 150 degrees 5.) 210 degrees 6.) 240 degrees

1.) 3pi/4 2.) 5pi/4 3.) 11pi/6 4.) 5pi/6 5.) 7pi/6 6.) 4pi/3

Cos(60 degrees)

1/2

sin(30 degrees)=?

1/2

Using reference angles and ASTC evaluate the following w/o calculator: tan(390 degrees)

1/square root of 3

Find the closest positive and negative angles that are co-terminal with the given angle: -258

102 degrees -618 degrees

A ferris wheel rotates 3 times each minute. The passengers sit in seats that are 25 ft. away form the center of the wheel. What is angular velocity of the wheel in deegrees per minute?

1080 degrees/minute

The triple sequence of the smallest odd numbers

3, 4, 5 5, 12, 13 7, 24, 25

Cathy Ngueyen races on a bicycle with a 13-inch radius wheels. When she is traveling at a speed of 44 ft/sec, how many revolutions per minute are her wheels making? Round answer to nearest hundreth.

387.85 rpm

The popellers of the Amazon Paradise have a radius of 1.2 m. At full throtle the propellers turn at 135 rpm. What is the angular speed of a propellor blade in radians per second?

4.5 pi rad/sec

Find the closest positive and negative angles that are co-terminal with the given angle: 50 degrees

410 degrees -310 degrees

Find the reference angle of -135 degrees.

45 degrees

Find the closest positive and negative angles that are co-terminal with the given angle: -7pi/6

5pi/6 -19pi/6

Find the referance angle of 60 degrees.

60 degrees