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人気のある三角関数 >

solvefor m,sec(m+12)=csc(42-n)

解

解く

m, sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

解

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

+1

ラジアン

m = arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk, m = - arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk

解答ステップ

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

三角関数の逆数プロパティを適用する

sec (m + \frac{π}{15}) = csc (\frac{7 π}{30} - n)

以下の一般解

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

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

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

解く

m + 1 2^{\circ} = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

1 2^{\circ}

を右側に移動します

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

両辺から

1 2^{\circ}

を引く

m + \frac{π}{15} - \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

簡素化

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

解く

m + 1 2^{\circ} = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

1 2^{\circ}

を右側に移動します

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

両辺から

1 2^{\circ}

を引く

m + \frac{π}{15} - \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

簡素化

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

グラフ

人気の例

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1 tan (x) = 3

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sin^2(x)+7sin^2(x)+5cos^2(x)+3=0

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2 cos (a) = 3 sin^{2} (a)

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\frac{11}{cos ( 9 0 ^{\circ} )} = \frac{10}{cos ( x )}