Trigonometry Formulas

mariaahbanu
Flashcards by mariaahbanu, updated more than 1 year ago
mariaahbanu
Created by mariaahbanu over 5 years ago
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Trigonometry Formulas to memorize!

Resource summary

Question Answer
l r x Ө
radian π/180 x degree
degree 180/π x radian measure
cos^2 x + sin^2 x 1
1 + tan^2 x sec^2x
1 + cot^2 x cosec^2x
cos (2nπ + x) cosx
sin (2nπ + x) sinx
sin(-x) -sinx
cos(-x) cosx
cos(x+y) cosxcosy-sinxsiny
cos(x-y) coxcosy+sinxsiny
cos(π/2-x) sinx
sin(π/2-x) cosx
sin(x+y) sinxcosy+cosxsiny
sin(x-y) sinxcosy-cosxsiny
cos (π/2 + x) -sinx
sin (π/2 + x) cosx
cos (π – x) –cos x
sin (π – x) sin x
cos (π + x) – cos x
sin (π + x) –sin x
cos (2π – x) cos x
sin (2π – x) –sin x
tan(x+y) tanx+tany / 1-tanxtany
tan(x-y) tanx-tany / 1+tanxtany
cot(x+y) cotxcoty-1 / coty+cotx
cot(x-y) cotxcoty+1 / coty-cotx
cos2x :cos^2 x - sin^2 x :2cox^2 x - 1 :1-2sin^2 x :1-tan^2 x / 1+tan^2 x
sin2x :2sinxcosx :2tanx / 1+tan^2 x
tan2x 2tanx / 1-tan^2 x
sin3x 3sinx - 4sin^3 x
cos3x 4cos^3 x - 3cosx
tan3x 3tanx-tan^3 x / 1-3tan^2 x
cosx+cosy 2cosx+y/2 cosx-y/2
cosx-cosy -2sinx+y/2 sinx-y/2
sinx+siny 2sinx+y/2 cosx-y/2
sinx-siny 2cosx+y/2 sinx-y/2
2cosxcosy cos(x+y) + cos(x-y)
-2sinxsiny cos(x+y) - cos(x-y)
2sinxcosy sin(x+y) + sin(x-y)
2cosxsiny sin(x+y) - sin(x-y)
sinx = 0 →x = nπ
cosx = 0 →x = (2n+1)(π/2)
sin x = sin y ⇒ x = nπ + (–1)^n y
cos x = cos y ⇒ x = 2nπ ±y
tan x = tan y ⇒ x = nπ + y
2sin^2 X/2 1 - cosx
2cos^2 x/2 1 + cosx
tan θ/2 1-cosθ / sinθ
sin(A+B) sin(A-B) :sin^2 A - cos^2 B :cos^2 B - cos^2 A
cos(A+B) cos(A-B) :cos^2 A - sin^2 B :-sin^2 A + cos^2 B
tan(A+B) tan(A-B) tan^2 A-tan^2 B / 1-tan^2 A tan^2 B
Sine Formula sinA/a = sinB/b = sinC/c = k
Cosine Formula :a^2 = b^2 + c^2 -2bccosA :b^2 = c^2 + a^2 -2cacosB :c^2 = a^2 + b^2 -2abcosC :CosA = (b^2 +c^2 -a^2)/2bc :CosB = (c^2 +a^2 -b^2)/2ac :CosC = (a^2 +b^2 -c^2)/2ab
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