zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

42-25cos(x)=31

解答

42 - 25 cos (x) = 31

解答

x = 1.11519 \dots + 2 πn, x = 2 π - 1.11519 \dots + 2 πn

+1

度数

x = 63.89611 \dots^{\circ} + 36 0^{\circ} n, x = 296.10388 \dots^{\circ} + 36 0^{\circ} n

求解步骤

42 - 25 cos (x) = 31

将

42

到右边

42 - 25 cos (x) = 31

两边减去

42

42 - 25 cos (x) - 42 = 31 - 42

化简

- 25 cos (x) = - 11

- 25 cos (x) = - 11

两边除以

- 25

- 25 cos (x) = - 11

两边除以

- 25

\frac{- 25 cos ( x )}{- 25} = \frac{- 11}{- 25}

化简

cos (x) = \frac{11}{25}

cos (x) = \frac{11}{25}

使用反三角函数性质

cos (x) = \frac{11}{25}

cos (x) = \frac{11}{25}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{11}{25}) + 2 πn, x = 2 π - arccos (\frac{11}{25}) + 2 πn

x = arccos (\frac{11}{25}) + 2 πn, x = 2 π - arccos (\frac{11}{25}) + 2 πn

以小数形式表示解

x = 1.11519 \dots + 2 πn, x = 2 π - 1.11519 \dots + 2 πn

作图

流行的例子

2sec^2(x)=5tan(x)

2 sec^{2} (x) = 5 tan (x)

cos^2(2x)-3sin^2(x)-1=0

cos^{2} (2 x) - 3 sin^{2} (x) - 1 = 0

sin (- t) = \frac{3}{10}

cos^2(x)+sin^3(x)=0

cos^{2} (x) + sin^{3} (x) = 0

solvefor c,e=r(sec(c/2)-1)

so l v e f or c, e = r (sec (\frac{c}{2}) - 1)