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受欢迎的三角函数 >

sin(x)=(-1}{\frac{sqrt(5))/2}

解答

sin (x) = \frac{- 1}{\frac{5}{2}}

解答

x = - 1.10714 \dots + 2 πn, x = π + 1.10714 \dots + 2 πn

+1

弧度

x = - 1.10714 \dots + 6.28318 \dots n, x = π + 1.10714 \dots + 6.28318 \dots n

求解步骤

sin (x) = \frac{- 1}{\frac{5}{2}}

化简

\frac{- 1}{\frac{5}{2}} : - \frac{2 5}{5}

\frac{- 1}{\frac{5}{2}}

使用分式法则:

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

= - \frac{1}{\frac{5}{2}}

使用分式法则:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

\frac{1}{\frac{5}{2}} = \frac{2}{5}

= - \frac{2}{5}

- \frac{2}{5}

有理化:

- \frac{2 5}{5}

- \frac{2}{5}

乘以共轭根式

\frac{5}{5}

= - \frac{2 5}{5 5}

55 = 5

55

使用根式运算法则:

a a = a

55 = 5

= 5

= - \frac{2 5}{5}

= - \frac{2 5}{5}

sin (x) = - \frac{2 5}{5}

使用反三角函数性质

sin (x) = - \frac{2 5}{5}

sin (x) = - \frac{2 5}{5}

的通解

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

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

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

以小数形式表示解

x = - 1.10714 \dots + 2 πn, x = π + 1.10714 \dots + 2 πn

作图

流行的例子

2csc^2(θ)-3cot(θ)+3=0

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

(2sin(x)+1)/(sqrt(cos(x)))=0

\frac{2 sin ( x ) + 1}{cos ( x )} = 0

sin (x) = 0.03725

tan (x) = 2.747

solvefor y,(sin(3y))/3 =(cos(2x))/2+1/2

so l v e f or y, \frac{sin ( 3 y )}{3} = \frac{cos ( 2 x )}{2} + \frac{1}{2}