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 >

cos^5(x)= 1/2

解答

cos^{5} (x) = \frac{1}{2}

解答

x = 0.51447 \dots + 2 πn, x = 2 π - 0.51447 \dots + 2 πn

+1

度数

x = 29.47731 \dots^{\circ} + 36 0^{\circ} n, x = 330.52268 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos^{5} (x) = \frac{1}{2}

对于

x^{n} = f (a)

，n 为奇数，解为

x = n f (a)

cos (x) = 5 \frac{1}{2}

使用反三角函数性质

cos (x) = 5 \frac{1}{2}

cos (x) = 5 \frac{1}{2}

的通解

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

x = arccos (5 \frac{1}{2}) + 2 πn, x = 2 π - arccos (5 \frac{1}{2}) + 2 πn

x = arccos (5 \frac{1}{2}) + 2 πn, x = 2 π - arccos (5 \frac{1}{2}) + 2 πn

以小数形式表示解

x = 0.51447 \dots + 2 πn, x = 2 π - 0.51447 \dots + 2 πn

作图

流行的例子

(cos^{2022}(x))/((sin^{2022)(x)+cos^{2022}(x))}=1

\frac{cos ^{2022} ( x )}{( sin ^{2022} ( x ) + cos ^{2022} ( x ) )} = 1

5sec(x)-4cos(x)=8

5 sec (x) - 4 cos (x) = 8

sin^{3} (x) = - 1

solvefor x,sin^2(x)=((1-cos(y)))/2

so l v e f or x, sin^{2} (x) = \frac{( 1 - cos ( y ) )}{2}

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

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