Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
68 Cards in this Set
 Front
 Back
domain of sin

all θ


domain of cos

all θ


domain of tan

θ does not = π/2 + nπ


domain of cot

θ does not = nπ


domain of sec

θ does not = π/2 + nπ


domain of csc

θ does not = nπ


range of sin

sin θ ≤ 1


range of cos

cos θ ≤ 1


range of tan

all reals


range of cot

all reals


range of sec

sec θ ≥ 1


range of csc

csc θ ≥ 1


domain of inverse sin

1 ≤ x ≤ 1


domain of inverse cos

1 ≤ x ≤ 1


domain of inverse tan

all real x


range of inverse sin

π/2 ≤ y ≤ π/2


range of inverse cos

0 ≤ y ≤ π


range of inverse tan

π/2 < y < π/2


sine

y/r


cosine

x/r


tangent

y/x


cosecant

r/y


secant

r/x


cotangent

x/y


30º

π/6
(√3/2, 1/2) 

45º

π/4
(√2/2, √2/2) 

60º

π/3
(1/2, √3/2) 

90º

π/2
(0, 1) 

120º

2π/3
(1/2, √3/2) 

135º

3π/4
(√2/2, √2/2) 

150º

5π/6
(√3/2, 1/2) 

180º

π
(1, 0) 

210º

7π/6
(√3/2, 1/2) 

225º

5π/4
(√2/2, √2/2) 

240º

4π/3
(1/2, √3/2) 

270º

3π/2
(0, 1) 

300º

5π/3
(1/2, √3/2) 

315º

7π/4
(√2/2, √2/2) 

330º

11π/6
(√3/2, 1/2) 

360º

2π
(1, 0) 

Arc Length (for rads)

s = rθ


Arc Length (for degrees)

s = θ/360º x 2πr/1


Area of a sector (for degrees)

K = θ/360º x πr²


Area of a sector (for rads)

K = 1/2 r² θ


Area of a sector (for arc length)

K = 1/2 r s


degrees to rads

(degreeº) x π/180º


rads to degrees

(rad) x 180º/π


reciprocal of csc x

1/sin x


reciprocal of sec x

1/cos x


reciprocal of cot x

1/tan x


reciprocal of sin x

1/csc x


reciprocal of cos x

1/sec x


reciprocal of tan x

1/cot x


Quotient of tan x

sin x/cos x


Quotient of cot x

cos x/sin x


cos (x) =

cos x


sin (x) =

 sin x


csc (x) =

csc x


tan (x) =

tan x


sec (x) =

sec x


cot (x) =

cot x


Pythagorian and variations of sec²x

1 + tan²x = sec²x
1 = sec²x  tan²x 

Pythagorian and variations of csc²x

1 + cot²x = csc²x
1 = csc²x  cot²x 

Pythagorian and variations of sin²x

1  cos²x = sin²x
1 = sin²x + cos²x 

Pythagorian and variations of cos²x

1  sin²x = cos²x
sin²x  1 = cos²x 1 = sin²x + cos²x 

Cofunction of sin x

cos (90º  θ)


Cofunction of tan x

cot (90º  θ)


Cofunction of sec x

csc (90º  θ)
