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人気のある三角関数 >

sin(θ/2)=(7.83)/(2(4.35))

解

sin (\frac{θ}{2}) = \frac{7.83}{2 ( 4.35 )}

解

θ = 2 \cdot 1.11976 \dots + 4 πn, θ = 2 π - 2 \cdot 1.11976 \dots + 4 πn

+1

度

θ = 128.31613 \dots^{\circ} + 72 0^{\circ} n, θ = 231.68386 \dots^{\circ} + 72 0^{\circ} n

解答ステップ

sin (\frac{θ}{2}) = \frac{7.83}{2 ( 4.35 )}

数を乗じる:

2 \cdot 4.35 = 8.7

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

三角関数の逆数プロパティを適用する

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

以下の一般解

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

解く

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn : θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn

以下で両辺を乗じる:

2

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn

以下で両辺を乗じる:

2

\frac{2 θ}{2} = 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

簡素化

\frac{2 θ}{2} = 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

簡素化

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

数を割る:

\frac{2}{2} = 1

= θ

簡素化

2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn : 2 arcsin (\frac{7.83}{8.7}) + 4 πn

2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

数を乗じる:

2 \cdot 2 = 4

= 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

解く

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn : θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

以下で両辺を乗じる:

2

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

以下で両辺を乗じる:

2

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

簡素化

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

簡素化

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

数を割る:

\frac{2}{2} = 1

= θ

簡素化

2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn : 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

数を乗じる:

2 \cdot 2 = 4

= 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn, θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

10進法形式で解を証明する

θ = 2 \cdot 1.11976 \dots + 4 πn, θ = 2 π - 2 \cdot 1.11976 \dots + 4 πn

グラフ

人気の例

-4sin(c)-2=sin(c)+1

- 4 sin (c) - 2 = sin (c) + 1

cot^{2} (x) + 1 = 2

sin(x)= 1/3 ,sec(y)=(25)/(24,cos(x+y))

sin (x) = \frac{1}{3}, sec (y) = \frac{25}{24 , cos ( x + y )}

2 = 2 - π cos (t)

solvefor a,45=arctanh(a/b)

so l v e f or a, 45 = arctanh (\frac{a}{b})