diketahui cos (x-30)derajat = sin x derajat
Matematika
Qhy2708
Pertanyaan
diketahui cos (x-30)derajat = sin x derajat
1 Jawaban
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1. Jawaban nabnabs
[tex]\cos{(x-30^{o}}=\sin{x}[/tex]
[tex]\cos{x}\cos{30^{o}}+\sin{x}\sin{30^{o}}=\sin{x}[/tex]
[tex]\frac{\cos{x}}{\sin{x}}\times\frac{\sqrt{3}}{2}+\frac{\sin{x}}{\sin{x}}\times\frac{1}{2}=1[/tex]
[tex]\cot{x}\times\frac{\sqrt{3}}{2}=\frac{1}{2}[/tex]
[tex]\cot{x}=\frac{1}{\sqrt}{3}[/tex]
[tex]\tan{x}=\frac{1}{\cot{x}}=\sqrt{3}[/tex]