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人気のある三角関数 >

4sec(x)+8=0

解

4 sec (x) + 8 = 0

解

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

+1

度

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

解答ステップ

4 sec (x) + 8 = 0

8

を右側に移動します

4 sec (x) + 8 = 0

両辺から

8

を引く

4 sec (x) + 8 - 8 = 0 - 8

簡素化

4 sec (x) = - 8

4 sec (x) = - 8

以下で両辺を割る

4

4 sec (x) = - 8

以下で両辺を割る

4

\frac{4 sec ( x )}{4} = \frac{- 8}{4}

簡素化

\frac{4 sec ( x )}{4} = \frac{- 8}{4}

簡素化

\frac{4 sec ( x )}{4} : sec (x)

\frac{4 sec ( x )}{4}

数を割る:

\frac{4}{4} = 1

= sec (x)

簡素化

\frac{- 8}{4} : - 2

\frac{- 8}{4}

分数の規則を適用する:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{8}{4}

数を割る:

\frac{8}{4} = 2

= - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

以下の一般解

sec (x) = - 2

sec (x)

2 πn

循環を含む周期性テーブル :

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

グラフ

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