NBT MAT: Math flashcards

identity formula (2)

sin²θ +cos²θ = 1

tanθ = sinθ/cosθ

list co-function

sin(90+A)=cosA

sin(90-A)=cosA

cos(90+A)=-sinA

cos(90-A)=sinA

sinθcosθ =

½ sin2θ

use sine rule when…

use cosine rule when…

AAS or SSA

SAS or SSS

what reasons to think of when diameter?

∠’s in semi-circle

what reasons to think of when center? (3)

1. ∠ at ⊙ = x2 at circumference

2. = radii

3. line from ⊙ ⟂ to chord

what reasons to think of when cyclic quad? (3)

1. ∠’s in the same segment

2. ext ∠’s of cyclic quad = opp int ∠

3. int opp ∠’s of cyclic quad = 180

what to remember when tan? (3)

1. tans from same point

2. tan chord theorem

3. tan ⟂ radius

line from centre ⟂ to chord

∠ at centre = 2 × ∠ at circumference.

∠ in a semi-circle

∠’s in the same segment

IF equal chords; equal ∠’s (3)

THEN equal circles; equal chords; equal ∠’s

5

of cyclic quad (= 180)

Ext ∠ of cyclic quad

Tan ⟂ radius

Tans from same pt

Tan chord theorem

what can you do if = radii (2)

1. isos △ (bases same ∠’s)

2. ∠’s opp equal sides OR sides opp = ∠’s

QUADRANT 1 →

QUADRANT 2 →

QUADRANT 3 →

QUADRANT 4 →

→ θ

→ 180-θ

→ 180+θ

→ 360-θ