Levi Rizki Saputra Notes

Nilai Sudut

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From Sudut 45 Derajat
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Nilai fungsi trigonometri sudut 45°45\degree

sin(45°)=22cos(45°)=22tan(45°)=1\begin{align*} \sin(45\degree) &= \dfrac{\sqrt{2}}{2} \\ \cos(45\degree) &= \dfrac{\sqrt{2}}{2} \\ \tan(45\degree) &= 1 \end{align*}

From Sudut 30 Derajat dan 60 Derajat
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Nilai fungsi trigonometri sudut 30°30\degree dan 60°60\degree

sin(30°)=12cos(30°)=32tan(30°)=33sin(60°)=32cos(60°)=12tan(60°)=3\begin{align*} \sin(30 \degree) &= \dfrac{1}{2} \\ \cos(30 \degree) &= \dfrac{\sqrt{3}}{2} \\ \tan(30 \degree) &= \dfrac{\sqrt{3}}{3} \\ \sin(60 \degree) &= \dfrac{\sqrt{3}}{2} \\ \cos(60 \degree) &= \dfrac{1}{2} \\ \tan(60 \degree) &= \sqrt{3} \end{align*}

From Sudut 15 Derajat
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Nilai fungsi trigonometri sudut 15°15\degree

sin(15°)=24(31)cos(15°)=24(3+1)tan(15°)=23\begin{aligned} \sin(15\degree) &= \frac{\sqrt{2}}{4}(\sqrt{3} - 1) \\ \cos( 15\degree ) &=\frac{\sqrt{2}}{4}\left(\sqrt{3} +1\right) \\ \tan( 15\degree ) &=2-\sqrt{3} \end{aligned}

From Sudut 18 Derajat dan 72 Derajat
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Nilai fungsi trigonometri sudut 15°15\degree

sin(18°)=514cos(18°)=10+254tan(18°)=5255sin(72°)=10+254cos(72°)=514tan(72°)=5+25\begin{align*} \sin(18\degree) &=\frac{\sqrt{5}-1}{4}\\ \cos(18\degree) &=\frac{\sqrt{10+2\sqrt{5}}}{4}\\ \tan(18\degree) &=\sqrt{\frac{5-2\sqrt{5}}{5}}\\ \sin(72\degree) &=\frac{\sqrt{10+2\sqrt{5}}}{4}\\ \cos(72\degree) &=\frac{\sqrt{5}-1}{4}\\ \tan(72\degree) &=\sqrt{5+2\sqrt{5}} \end{align*}