Chapter 6 quiz

Question 1

convert each angle to decimal in degrees (given that 3 number thing)

Answer 1

• button next to book

- Enter values

Question 2

Convert each angle to DMS form

Answer 2

• enter angle
• book
• Convert to DMS

Question 3

convert each able in degrees to radians

Answer 3

multiply by pi/180

Question 4

convert each angle in radians to degrees

Answer 4

multiply by 180/pi

Question 5

distance (s) equation

Answer 5

s=degree x radius

Question 6

Area formula

Answer 6

A=1/2 r^2 degree (make sure degree is in radians)

Question 7

angular speed

Answer 7

w=degree/time (degree in radians)

Question 8

linear speed

Answer 8

v=wt (w in radians)

Question 9

(x,y) equals

Answer 9

(cos, sin)

Question 10

Find the exact value. No calculator. trig functions with pi/radians

Answer 10

Draw on graph, will be straight line, and 0, 1, or -1

Question 11

45, 45, 90 triangle

Answer 11

1, 1, square root 2

Question 12

30, 60, 90 triangle

Answer 12

1, square root 3, 2

Question 13

adding sin/cos/tan

Answer 13

draw and find both and add

Question 14

find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined”. Do not use a calculator

Answer 14

draw and determine, if negative go clockwise

Question 15

a point on the terminal side of an angle in standard position is given. Find the exact value of each of the 6 trigonometric functions of angles.

Answer 15

• draw point
• Fill in triangle using Pythagorean theory
• Solve

Question 16

cos to sec and tan to cot

Answer 16

flip before rationalize

Question 17

name the quadrant in which angle lies

Answer 17

ASTC in C shape

Question 18

tan is

Answer 18

sin/cos

Question 19

EO properties sin and csc

Answer 19

sin(-d)= -sind
csc(-d)= -cscd

Question 20

EO properties cos and sec

Answer 20

cos(-d)=cosd

sec(-d)= secd

Question 21

EO properties tan and cot

Answer 21

tan(-d)= -tand
cot(-d)= -cotd

Question 22

Use the EO properties to find the exact values of each expression. NO calculator

Answer 22

• EO properties

- use triangle to find values

Question 23

use properties of the trigonometric functions to find the exact value of each expression. No calculator

Answer 23

sin^2d + cos^2d = 1
tan^2d + 1 = sec^2d
cot^2d + 1 = csc^2d