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Trigonometry reference sheet pdf
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So we have the complex Trigonometric Identities Reference Sheet Reciprocal Identities sin =csc csc =sin cos =sec sec =cos tan =cot cot =tan Quotient Identities tan = sin cos cot = cos sin Pythagorean Identities sin2 +cos2 =tan+1 = sec(This is just sin +cos2 =divided through by cos) 1+cot= csc2 (This is just sin +cos2 =divided Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume thatp <<q or 0°<q<° opposite sin hypotenuse q= hypotenuse csc opposite q= adjacent cos hypotenuse q= hypotenuse sec adjacent q= opposite tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any TrigCheatSheet DefinitionoftheTrigFunctions Righttriangledefinition Forthisdefinitionweassumethat< < ˇor0 < < sin() = opposite hypotenuse csc() = hypotenuse Trigonometric Identities Reference Sheet Reciprocal Identities sin =csc csc =sin cos =sec sec =cos tan =cot cot =tan Quotient Identities tan = sin cos cot = cos sin Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume thatp TrigCheatSheet DefinitionoftheTrigFunctions Righttriangledefinition Forthisdefinitionweassumethat 0 Symbolab Trigonometry Cheat Sheet Basic Identities: (tan)=sin(𝑥) cos(𝑥) (tan)=cot(𝑥) (cot)=tan(𝑥)) cot()=cos(𝑥) sin(𝑥) sec()=cos(𝑥) Trigonometric Reference Sheet Pythagorean Identities sin2x + cos2x =(1)+ cot2x = csc2x (2) tan2x += sec2x (3) Double Angle Identities sin(2x) = 2*sin x*cos x (4) Trig_Cheat_Sheet Author: ptdaw Created Date/2/AM More speci cally, if zis written in the trigonometric form r(cos + isin), the nth roots of zare given by the following formula. r n1 cos n + k n + isin n + k n ; for k= 0;1;2;;nRemember from the previous example we need to writein trigonometric form by using: r= p (a)2 + (b)2 and = arg(z) = tanb a.

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