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受欢迎的三角函数 >

(cos^3(pi/4))/3

解答

\frac{cos ^{3} ( \frac{π}{4} )}{3}

解答

\frac{2}{12}

+1

十进制

0.11785 \dots

求解步骤

\frac{cos ^{3} ( \frac{π}{4} )}{3}

使用以下普通恒等式:

cos (\frac{π}{4}) = \frac{2}{2}

cos (\frac{π}{4})

cos (x)

周期表（周期为

2 πn

）：

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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} 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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{2}{2}

= \frac{( \frac{2}{2} ) ^{3}}{3}

化简

\frac{( \frac{2}{2} ) ^{3}}{3} : \frac{2}{12}

\frac{( \frac{2}{2} ) ^{3}}{3}

(\frac{2}{2})^{3} = \frac{2}{2 ^{2}}

(\frac{2}{2})^{3}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 ) ^{3}}{2 ^{3}}

(2)^{3} : 2^{\frac{3}{2}}

使用根式运算法则:

a = a^{\frac{1}{2}}

= (2^{\frac{1}{2}})^{3}

使用指数法则:

(a^{b})^{c} = a^{b c}

= 2^{\frac{1}{2} \cdot 3}

\frac{1}{2} \cdot 3 = \frac{3}{2}

\frac{1}{2} \cdot 3

分式相乘:

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

= \frac{1 \cdot 3}{2}

数字相乘:

1 \cdot 3 = 3

= \frac{3}{2}

= 2^{\frac{3}{2}}

= \frac{2 ^{\frac{3}{2}}}{2 ^{3}}

2^{\frac{3}{2}} = 22

2^{\frac{3}{2}}

2^{\frac{3}{2}} = 2^{1 + \frac{1}{2}}

= 2^{1 + \frac{1}{2}}

使用指数法则:

x^{a + b} = x^{a} x^{b}

= 2^{1} \cdot 2^{\frac{1}{2}}

整理后得

= 22

= \frac{2 2}{2 ^{3}}

约分:

2

= \frac{2}{2 ^{2}}

= \frac{\frac{2}{2 ^{2}}}{3}

使用分式法则:

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

= \frac{2}{2 ^{2} \cdot 3}

2^{2} \cdot 3 = 12

2^{2} \cdot 3

2^{2} = 4

= 4 \cdot 3

数字相乘:

4 \cdot 3 = 12

= 12

= \frac{2}{12}

= \frac{2}{12}

流行的例子

arctan((-8)/(-5))

arctan (\frac{- 8}{- 5})

1 sin (\frac{π}{2})

\frac{arctan ( 1 )}{3}

sin(2tan(-4/3))

sin (2 tan (- \frac{4}{3}))

cos (2 \cdot 1)