trig

pythagorean identities- right triangles

sin²θ + cos²θ = 1

1 + cot²θ = csc²θ

tan²θ + 1 = sec²θ

what are the ranges of sinθ and cosθ

-1 ≤ sinθ ≤ 1 and -1 ≤ cosθ ≤ 1. numerator will always be less than denominator

what is only pos in quadrant II

sinθ, cscθ

what is only pos in quadrant III

tanθ, cotθ

what is only pos in quadrant IV

cosθ, secθ

what are the reciprocal identities

sinθ = 1/cscθ

cosθ = 1/secθ

tanθ = 1/cotθ

what are the quotient identities

sinθ/cosθ = tanθ

cosθ/sinθ = cotθ

cofunctions

sinA = cosB

cosA = sinB

tanA = cotB

30 - 60 - 90

1 - √3 - 2

45 - 45 - 90

1 - 1 - √2

sin30°

1/2

sin45°

√2/ 2

sin60°

√3/ 2

if theres no label what is it assumed to be

radians

30^o

π/ 6

45^o

π/ 4

60^o

π/ 3

90^o

π/ 2

180^o

π

270^o

3π/ 2

360^o

2π

how to find arc length

s = θr

when you have circle/ arc, what is θ measured in

radians

how to find area of circle segment

A = ½ r² θ