PKBM C-10 BERTANI - Perbandingan Trigonometri -

 

Perbandingan Trigonometri

1. Perbandingan Trigonometri di Segitiga Siku

2. Perbandingan Trigonometri dalam Koordinat Kartesius

3. Sudut Khusus

4. Arti Kuadran

Rumus Sudut Relatif

$A.Relasi\theta dengan({90}^{\circ }-\theta )$
$sin({90}^{\circ }-\theta )=cos\theta$ || $cosec({90}^{\circ }-\theta )=sec\theta$
$cos({90}^{\circ }-\theta )=sin\theta$ || $sec({90}^{\circ }-\theta )=cosec\theta$
$tan({90}^{\circ }-\theta )=cot\theta$ || $cot({90}^{\circ }-\theta )=tan\theta$

$B.Relasi\theta dengan({90}^{\circ }+\theta )$
$sin({90}^{\circ }+\theta )=cos\theta$ || $cosec({90}^{\circ }+\theta )=sec\theta$
$cos({90}^{\circ }+\theta )=-sin\theta$ || $sec({90}^{\circ }+\theta )=-cosec\theta$
$tan({90}^{\circ }+\theta )=-cot\theta$ || $cot({90}^{\circ }+\theta )=-tan\theta$

$\mathrm{C.Relasi\theta dengan(270\circ -\theta )sin(270\circ -\theta )=-cos\theta || cosec(270\circ -\theta )=-sec\theta cos(270\circ -\theta )=-sin\theta || sec(270\circ -\theta )=-cosec\theta tan(270\circ -\theta )=cot\theta || cot(270\circ -\theta )=tan\theta }$
$\mathrm{D.Relasi\theta dengan(270\circ +\theta )sin(270\circ +\theta )=-cos\theta || cosec(270\circ +\theta )=-sec\theta cos(270\circ +\theta )=sin\theta || sec(270\circ +\theta )=cosec\theta tan(270\circ +\theta )=-cot\theta || cot(270\circ +\theta )=-tan\theta E.Relasi\theta dengan(-\theta )sin(-\theta )=-sin\theta || cosec(-\theta )=-cosec\theta cos(-\theta )=cos\theta || sec(-\theta )=sec\theta tan(-\theta )=-tan\theta || cot(-\theta )=-cot\theta }$$F.Relasi\theta dengan({360}^{\circ }+\theta )$
F.Relasiθdengan(360∘+θ)
sin(360∘+θ)=sinθ || cosec(360∘+θ)=cosecθ
cos(360∘+θ)=cosθ || sec(360∘+θ)=secθ
tan(360∘+θ)=tanθ || cot(360∘+θ)=cotθ

$G.Relasi\theta dengan({180}^{\circ }-\theta )$
$sin({180}^{\circ }-\theta )=sin\theta$ || $cosec({180}^{\circ }-\theta )=cosec\theta$
$cos({180}^{\circ }-\theta )=-cos\theta$ || $sec({180}^{\circ }-\theta )=-sec\theta$
$tan({180}^{\circ }-\theta )=-tan\theta$ || $cot({180}^{\circ }-\theta )=-cot\theta$

$H.Relasi\theta dengan({180}^{\circ }+\theta )$
$sin({180}^{\circ }+\theta )=-sin\theta$ || $cosec({180}^{\circ }+\theta )=-cosec\theta$
$cos({180}^{\circ }+\theta )=-cos\theta$ || $sec({180}^{\circ }+\theta )=-sec\theta$
$tan({180}^{\circ }+\theta )=tan\theta$ || $cot({180}^{\circ }-\theta )=cot\theta$

$I.Relasi\theta dengan({360}^{\circ }-\theta )$
$sin({360}^{\circ }-\theta )=-sin\theta$ || $cosec({360}^{\circ }-\theta )=-cosec\theta$
$cos({360}^{\circ }-\theta )=cos\theta$ || $sec({360}^{\circ }-\theta )=sec\theta$
$tan({360}^{\circ }-\theta )=-tan\theta$ || $cot({360}^{\circ }-\theta )=-cot\theta$

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