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人気のある三角関数 >

solvefor x,sec(x+10)=5.759

解

解く

x, sec (x + 1 0^{\circ}) = 5.759

解

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

ラジアン

x = 1.39627 \dots - \frac{π}{18} + 2 πn, x = 2 π - 1.39627 \dots - \frac{π}{18} + 2 πn

解答ステップ

sec (x + 1 0^{\circ}) = 5.759

三角関数の逆数プロパティを適用する

sec (x + 1 0^{\circ}) = 5.759

以下の一般解

sec (x + 1 0^{\circ}) = 5.759

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (a) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

解く

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n : x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

1 0^{\circ}

を右側に移動します

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

両辺から

1 0^{\circ}

を引く

x + 1 0^{\circ} - 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

簡素化

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

解く

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n : x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

1 0^{\circ}

を右側に移動します

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

両辺から

1 0^{\circ}

を引く

x + 1 0^{\circ} - 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

簡素化

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

10進法形式で解を証明する

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

グラフ

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