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人気のある三角関数 >

sin(x-53.13)=-2/5

解

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

解

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

+1

ラジアン

x = - 0.41151 \dots + \frac{1771 π}{6000} + 2 πn, x = π + 0.41151 \dots + \frac{1771 π}{6000} + 2 πn

解答ステップ

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

三角関数の逆数プロパティを適用する

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

以下の一般解

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

sin (x) = - a \Rightarrow x = arcsin (- a) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (a) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

解く

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n : x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n

簡素化

arcsin (- \frac{2}{5}) + 36 0^{\circ} n : - arcsin (\frac{2}{5}) + 36 0^{\circ} n

arcsin (- \frac{2}{5}) + 36 0^{\circ} n

次のプロパティを使用する:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{2}{5}) = - arcsin (\frac{2}{5})

= - arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

53.1 3^{\circ}

を右側に移動します

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

両辺に

53.1 3^{\circ}

を足す

x - 53.1 3^{\circ} + 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

簡素化

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

解く

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n : x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

53.1 3^{\circ}

を右側に移動します

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

両辺に

53.1 3^{\circ}

を足す

x - 53.1 3^{\circ} + 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

簡素化

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

10進法形式で解を証明する

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

グラフ

人気の例

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cos (θ) = \frac{14}{16}

tan(2c)=-tan(x)

tan (2 c) = - tan (x)

sin(θ)-0.1cos(θ)=(8.87)/(9.8)

sin (θ) - 0.1 cos (θ) = \frac{8.87}{9.8}

(cos(x))/2 =(sqrt(3))/2

\frac{cos ( x )}{2} = \frac{3}{2}