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人気のある三角関数 >

(sin(b))/(300)=(sin(49))/(500)

解

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

解

b = 0.46993 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.46993 \dots + 36 0^{\circ} n

+1

ラジアン

b = 0.46993 \dots + 2 πn, b = π - 0.46993 \dots + 2 πn

解答ステップ

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

以下で両辺を乗じる:

100

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

以下で両辺を乗じる:

100

\frac{sin ( b )}{300} \cdot 100 = \frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

簡素化

\frac{sin ( b )}{300} \cdot 100 = \frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

簡素化

\frac{sin ( b )}{300} \cdot 100 : \frac{sin ( b )}{3}

\frac{sin ( b )}{300} \cdot 100

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( b ) \cdot 100}{300}

共通因数を約分する:

100

= \frac{sin ( b )}{3}

簡素化

\frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100 : \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( 4 9 ^{\circ} ) \cdot 100}{500}

共通因数を約分する:

100

= \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

以下で両辺を乗じる:

3

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

以下で両辺を乗じる:

3

\frac{3 sin ( b )}{3} = \frac{3 sin ( 4 9 ^{\circ} )}{5}

簡素化

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

三角関数の逆数プロパティを適用する

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

以下の一般解

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

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

b = arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n

b = arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n

10進法形式で解を証明する

b = 0.46993 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.46993 \dots + 36 0^{\circ} n

グラフ

人気の例

sin(θ)=cos(2θ+60)

sin (θ) = cos (2 θ + 6 0^{\circ})

tan(θ)=(-12)/5

tan (θ) = \frac{- 12}{5}

(1+tan(x/2))/(1-tan(x/2))=sqrt(4.137131)

\frac{1 + tan ( \frac{x}{2} )}{1 - tan ( \frac{x}{2} )} = 4.137131

cos (θ) = 0.51

csc(θ)=(-2sqrt(3))/3

csc (θ) = \frac{- 2 3}{3}