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人気のある三角関数 >

(sin(a))/(50)=(sin(25))/(35)

解

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

解

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

+1

ラジアン

a = 0.64818 \dots + 2 πn, a = π - 0.64818 \dots + 2 πn

解答ステップ

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

以下で両辺を乗じる:

10

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

以下で両辺を乗じる:

10

\frac{sin ( a )}{50} \cdot 10 = \frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

簡素化

\frac{sin ( a )}{50} \cdot 10 = \frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

簡素化

\frac{sin ( a )}{50} \cdot 10 : \frac{sin ( a )}{5}

\frac{sin ( a )}{50} \cdot 10

分数を乗じる:

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

= \frac{sin ( a ) \cdot 10}{50}

共通因数を約分する:

10

= \frac{sin ( a )}{5}

簡素化

\frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10 : \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

分数を乗じる:

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

= \frac{sin ( 2 5 ^{\circ} ) \cdot 10}{35}

共通因数を約分する:

5

= \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

以下で両辺を乗じる:

5

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

以下で両辺を乗じる:

5

\frac{5 sin ( a )}{5} = \frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

簡素化

\frac{5 sin ( a )}{5} = \frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

簡素化

\frac{5 sin ( a )}{5} : sin (a)

\frac{5 sin ( a )}{5}

数を割る:

\frac{5}{5} = 1

= sin (a)

簡素化

\frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7} : \frac{10 sin ( 2 5 ^{\circ} )}{7}

\frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

数を乗じる:

5 \cdot 2 = 10

= \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

三角関数の逆数プロパティを適用する

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

以下の一般解

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

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

a = arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n

a = arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n

10進法形式で解を証明する

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

グラフ

人気の例

sin(2x+64)=(sqrt(3))/2

sin (2 x + 64) = \frac{3}{2}

sin (θ) = 0, 6

sin(x)=sin(pi/2)

sin (x) = sin (\frac{π}{2})

(sin(x))/(1-cos^2(x))=sec(x)

\frac{sin ( x )}{1 - cos ^{2} ( x )} = sec (x)

cos(2x)-2sin(x)=1,0<x<= 360

cos (2 x) - 2 sin (x) = 1, 0^{\circ} < x \leq 36 0^{\circ}