Quiz / Test 1

Question 1

sides of a 45-45-90 triangle

Answer 1

1, 1, √2

Question 2

sides of 30-60-90 triange

Answer 2

1 (30), √3 (60), 2 (90)

Question 3

definition of angle

Answer 3

union of 2 rays with a common vertex, 1 side is fixed and the other rotates

Question 4

circumference formula

Answer 4

2(π)(r)

Question 5

1 radian =

Answer 5

s = r

Question 6

convert TO radians

Answer 6

degrees * π/180

Question 7

convert TO degrees

Answer 7

radians * 180/π

Question 8

find the coterminal (degrees)

Answer 8

x + 360
x - 360
(can +/- another 360 and would still be coterminal)

Question 9

find coterminal (radians)

Answer 9

x + 2π
x - 2π
(can +/- another 2π and would still be coterminal)

Question 10

if radius = 1, the trig functions are

Answer 10

cos = x, sec = 1/x, cot = cos/sin
sin = y, csc = 1/y, tan = sin/cos

Question 11

if the radius ISN’T 1, the trig functions are:

Answer 11

cos = x/r, sec = r/x, cot = cos/sin
sin = y/r, csc = r/y, tan = sin/cos

Question 11

if the radius ISN’T 1, the trig functions are:

Answer 11

cos = x/r, sec = r/x, cot = cos/sin
sin = y/r, csc = r/y, tan = sin/cos

Question 12

thing to remember which trig functions are positive

Answer 12

All Students Take Calculus
(all) (sin) (tan) (cos)

Question 13

if the terminal side lands on an x/y axis, assume

Answer 13

r = 1

Question 14

radius is equal to

Answer 14

√x²+y²

Question 15

Pythagorean identities

Answer 15

cos² + sin² = 1
1 + tan = sec² (or 1/cos²)
cot + 1 = csc² (or 1/sin²)

Question 16

when to use degree vs radian mode on calculator

Answer 16

radian - smaller numbers
degree - degree symbol, larger numbers