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受欢迎的三角函数 >

e^{ln(5)}arctan(5e^{-ln(5)})

解答

e^{l n (5)} arctan (5 e^{- l n (5)})

解答

\frac{5 π}{4}

+1

十进制

3.92699 \dots

求解步骤

e^{l n (5)} arctan (5 e^{- l n (5)})

化简:

5 e^{- l n (5)} = 1

5 e^{- l n (5)}

使用指数法则:

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

e^{- l n (5)} = \frac{1}{e ^{l n (5)}}

= 5 \cdot \frac{1}{e ^{l n (5)}}

分式相乘:

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

= \frac{1 \cdot 5}{e ^{l n (5)}}

数字相乘:

1 \cdot 5 = 5

= \frac{5}{e ^{l n (5)}}

e^{l n (5)} = 5

e^{l n (5)}

使用对数计算法则:

a^{l o g_{a} (b)} = b

= 5

= \frac{5}{5}

使用法则

\frac{a}{a} = 1

= 1

e^{l n (5)} arctan (1) = 5 arctan (1)

e^{l n (5)} arctan (1)

e^{l n (5)} = 5

e^{l n (5)}

使用对数计算法则:

a^{l o g_{a} (b)} = b

= 5

= 5 arctan (1)

= 5 arctan (1)

使用以下普通恒等式:

arctan (1) = \frac{π}{4}

arctan (1)

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{4}

= 5 \cdot \frac{π}{4}

化简

5 \cdot \frac{π}{4} : \frac{5 π}{4}

5 \cdot \frac{π}{4}

分式相乘:

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

= \frac{π 5}{4}

= \frac{5 π}{4}

流行的例子

sin (- \frac{π}{7})

5(cos(pi/6)+isin(pi/6))

5 (cos (\frac{π}{6}) + i sin (\frac{π}{6}))

arcsin((25)/(30.8))

arcsin (\frac{25}{30.8})

4sqrt(3)cos((4pi)/3)

43 cos (\frac{4 π}{3})

(28.28^2(sin^2(29.7)))/(2*9.8)

\frac{28.2 8 ^{2} ( sin ^{2} ( 29. 7 ^{\circ} ) )}{2 \cdot 9.8}