# Trigonometry Formulas

Flashcards by mariaahbanu, updated more than 1 year ago
 Created by mariaahbanu over 5 years ago
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### Description

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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