TRIGONOMETRIC FUNCTIONS
sin q°= cos (90 - q)°
cos q =sin (90 - q)°


Special angles



General angles


a = basic/associated acute/reference angle


For any q° with basic a
sin q° = sina [1st + 2nd]
sin q° = -sina [3rd + 4th]
cos q° = cosa [1st + 4th]
cos q° = -cosa [2nd + 3rd]
tan q° = tana [1st + 3rd]
tan q° = -tana [2nd + 4th]

cos (-q°) = cosq°
sin (-q°) = - sinq°
tan (-q°) = - tanq°

Sine, Cosine, Tangent Graphs
sin 0° = 0
sin 30° = 0.5
sin 90° = 1
sin 150° = 0.5
sin 180° = 0
sin 210° = -0.5
sin 270° = -1
sin 330° = -0.5
sin 360° = 0


cos 0° = 1
cos 60° = 0.5
cos 90° = 0
cos 120° = -0.5
cos 180° = -1
cos 240° = -0.5
cos 270° = 0
cos 300° = 0.5
cos 360° = 1


tan 0° = 0
tan 45° = 1
tan 90° = undefined
tan 135° = -1
tan 180° = 0
tan 225° = 1
tan 270° = undefined
tan 315° = -1
tan 360° = 0


secant : secq° = 1/cosq°, cos q° 0
cosecant : cosecq° = 1/sinq°, sin q° 0
cotangent : cotq° = 1/tanq°, tan q° 0


sin²q° + cos²q° = 1
sec²q° = 1 + tan²q°
cosec²q° = 1 + cot²q°


Addition & Subtraction Formulae
sin (q ± a) = sin qcosa ± cosqsina
cos (q ± a) = cosqcosa sinasinq


Double Angle Formula
cos2A = cos²A - sin²A = 2cos²A - 1 = 1- 2sin²A
sin2A = 2sinAcosA


a cosq° ± b sinq°
a cosq° ± b sinq° = R cos (q a)°
a sinq° ± b cosq° = R cos (q ± a)°



Amaths3
Amaths4
Amaths5
Amaths1