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人気のある三角関数 >

3cos(x)+sec(145)=1

解

3 cos (x) + sec (14 5^{\circ}) = 1

解

x = 0.7373420134 + 36 0^{\circ} n, x = 36 0^{\circ} - 0.7373420134 + 36 0^{\circ} n

+1

ラジアン

x = 0.7373420134 + 2 πn, x = 2 π - 0.7373420134 + 2 πn

解答ステップ

3 cos (x) + sec (14 5^{\circ}) = 1

sec (14 5^{\circ})

を右側に移動します

3 cos (x) + sec (14 5^{\circ}) = 1

両辺から

sec (14 5^{\circ})

を引く

3 cos (x) + sec (14 5^{\circ}) - sec (14 5^{\circ}) = 1 - sec (14 5^{\circ})

簡素化

3 cos (x) = 1 - sec (14 5^{\circ})

3 cos (x) = 1 - sec (14 5^{\circ})

以下で両辺を割る

3

3 cos (x) = 1 - sec (14 5^{\circ})

以下で両辺を割る

3

\frac{3 cos ( x )}{3} = \frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

簡素化

\frac{3 cos ( x )}{3} = \frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

簡素化

\frac{3 cos ( x )}{3} : cos (x)

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

数を割る:

\frac{3}{3} = 1

= cos (x)

簡素化

\frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3} : \frac{1 - sec ( 14 5 ^{\circ} )}{3}

\frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

規則を適用

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

= \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

三角関数の逆数プロパティを適用する

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

以下の一般解

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x = arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n

x = arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.7373420134 + 36 0^{\circ} n, x = 36 0^{\circ} - 0.7373420134 + 36 0^{\circ} n

グラフ

人気の例

sec^2(x)+3tan^2(x)=13

sec^{2} (x) + 3 tan^{2} (x) = 13

1609.3=(1.133^2)/((9.8)tan(θ))

1609.3 = \frac{1.13 3 ^{2}}{( 9.8 ) tan ( θ )}

2 sec^{2} (2 x) = 0

cos(x)=((-3)/4)

cos (x) = (\frac{- 3}{4})

4(cos(x))^2=5-4sin(x)

4 (cos (x))^{2} = 5 - 4 sin (x)