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受欢迎的三角函数 >

(sin^2(45)cos^2(45))^{3/2}

解答

(sin^{2} (4 5^{\circ}) cos^{2} (4 5^{\circ}))^{\frac{3}{2}}

解答

\frac{1}{8}

+1

十进制

0.125

求解步骤

(sin^{2} (4 5^{\circ}) cos^{2} (4 5^{\circ}))^{\frac{3}{2}}

使用以下普通恒等式:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\circ})

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

使用以下普通恒等式:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\circ})

cos (x)

周期表（周期为

36 0^{\circ} n

）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} 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{2}{2})^{2} (\frac{2}{2})^{2}^{\frac{3}{2}}

化简

(\frac{2}{2})^{2} (\frac{2}{2})^{2}^{\frac{3}{2}} : \frac{1}{8}

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

化简

(\frac{2}{2})^{2} (\frac{2}{2})^{2} : (\frac{2}{2})^{4}

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

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

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

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

数字相加:

2 + 2 = 4

= (\frac{2}{2})^{4}

= (\frac{2}{2})^{4}^{\frac{3}{2}}

(\frac{2}{2})^{4} = \frac{1}{2 ^{2}}

(\frac{2}{2})^{4}

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

\frac{2}{2}

使用指数法则:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

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

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

数字相减:

1 - \frac{1}{2} = \frac{1}{2}

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

= (\frac{1}{2 ^{\frac{1}{2}}})^{4}

使用指数法则:

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

= \frac{1 ^{4}}{( 2 ^{\frac{1}{2}} ) ^{4}}

(2^{\frac{1}{2}})^{4} : 2^{2}

使用指数法则:

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

= 2^{\frac{1}{2} \cdot 4}

\frac{1}{2} \cdot 4 = 2

\frac{1}{2} \cdot 4

分式相乘:

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

= \frac{1 \cdot 4}{2}

数字相乘:

1 \cdot 4 = 4

= \frac{4}{2}

数字相除:

\frac{4}{2} = 2

= 2

= 2^{2}

= \frac{1 ^{4}}{2 ^{2}}

使用法则

1^{a} = 1

1^{4} = 1

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

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

使用指数法则:

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

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

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

使用指数法则:

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

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

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

2 \cdot \frac{3}{2}

分式相乘:

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

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

约分:

2

= 3

= 2^{3}

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

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

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

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

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

使用指数法则:

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

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

整理后得

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

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

乘以:

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

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

使用法则

1^{a} = 1

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

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

2^{3} = 8

= \frac{1}{8}

= \frac{1}{8}

流行的例子

arccos(3/(sqrt(18)))

(cos(0.01)-1)/(0.01)

cos((5pi}{18})cos((2pi)/9)-sin((5pi)/(18))sin(\frac{2pi)/9)

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