Pertanyaan

Jika besar sudut dalam pusat segi-8 beraturan adalah x maka nilai dari adalah ….

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Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Sudut dalam pusat segi-8 beraturan Maka,

Sudut dalam pusat segi-8 beraturan $open parentheses x close parentheses equals fraction numerator 360 degree over denominator 8 end fraction equals 45 degree$

Maka,

$4 sin space 4 x plus square root of 3 space cosec space 4 over 3 x plus 1 half tan space open parentheses negative 7 x close parentheses equals 4 sin space 4 open parentheses 45 degree close parentheses plus square root of 3 space cosec space open parentheses 4 over 3.45 degree close parentheses plus 1 half tan space open parentheses negative 7 open parentheses 45 degree close parentheses close parentheses equals 4 sin space 180 degree plus square root of 3 space cosec space 60 degree plus 1 half tan space left parenthesis negative 315 degree right parenthesis equals 4 sin space open parentheses 180 degree plus 0 degree close parentheses plus fraction numerator square root of 3 over denominator sin space 60 degree end fraction plus 1 half tan space open parentheses 360 degree plus open parentheses negative 315 degree close parentheses close parentheses equals negative 4 sin space 0 degree plus fraction numerator square root of 3 over denominator sin space 60 degree end fraction plus 1 half tan space open parentheses 45 degree close parentheses equals negative open parentheses 4 close parentheses open parentheses 0 close parentheses plus fraction numerator square root of 3 over denominator fraction numerator square root of 3 over denominator 2 end fraction end fraction plus 1 half open parentheses 1 close parentheses equals 0 plus 2 plus 1 half equals 5 over 2$