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受欢迎的三角函数 >

55^2=50^2+90^2-25090*cos(x)

解答

5 5^{2} = 5 0^{2} + 9 0^{2} - 2 \cdot 50 \cdot 90 \cdot cos (x)

解答

x = 0.57043 \dots + 2 πn, x = 2 π - 0.57043 \dots + 2 πn

+1

度数

x = 32.68346 \dots^{\circ} + 36 0^{\circ} n, x = 327.31653 \dots^{\circ} + 36 0^{\circ} n

求解步骤

5 5^{2} = 5 0^{2} + 9 0^{2} - 2 \cdot 50 \cdot 90 cos (x)

交换两边

5 0^{2} + 9 0^{2} - 2 \cdot 50 \cdot 90 cos (x) = 5 5^{2}

数字相乘:

2 \cdot 50 \cdot 90 = 9000

5 0^{2} + 9 0^{2} - 9000 cos (x) = 5 5^{2}

5 0^{2} = 2500

2500 + 9 0^{2} - 9000 cos (x) = 5 5^{2}

9 0^{2} = 8100

2500 + 8100 - 9000 cos (x) = 5 5^{2}

数字相加:

2500 + 8100 = 10600

- 9000 cos (x) + 10600 = 5 5^{2}

5 5^{2} = 3025

- 9000 cos (x) + 10600 = 3025

将

10600

到右边

- 9000 cos (x) + 10600 = 3025

两边减去

10600

- 9000 cos (x) + 10600 - 10600 = 3025 - 10600

化简

- 9000 cos (x) = - 7575

- 9000 cos (x) = - 7575

两边除以

- 9000

- 9000 cos (x) = - 7575

两边除以

- 9000

\frac{- 9000 cos ( x )}{- 9000} = \frac{- 7575}{- 9000}

化简

\frac{- 9000 cos ( x )}{- 9000} = \frac{- 7575}{- 9000}

化简

\frac{- 9000 cos ( x )}{- 9000} : cos (x)

\frac{- 9000 cos ( x )}{- 9000}

使用分式法则:

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

= \frac{9000 cos ( x )}{9000}

数字相除:

\frac{9000}{9000} = 1

= cos (x)

化简

\frac{- 7575}{- 9000} : \frac{101}{120}

\frac{- 7575}{- 9000}

使用分式法则:

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

= \frac{7575}{9000}

约分:

75

= \frac{101}{120}

cos (x) = \frac{101}{120}

cos (x) = \frac{101}{120}

cos (x) = \frac{101}{120}

使用反三角函数性质

cos (x) = \frac{101}{120}

cos (x) = \frac{101}{120}

的通解

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

x = arccos (\frac{101}{120}) + 2 πn, x = 2 π - arccos (\frac{101}{120}) + 2 πn

x = arccos (\frac{101}{120}) + 2 πn, x = 2 π - arccos (\frac{101}{120}) + 2 πn

以小数形式表示解

x = 0.57043 \dots + 2 πn, x = 2 π - 0.57043 \dots + 2 πn

作图

流行的例子

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7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90

7 tan (x) = 23 + tan (x), 0^{\circ} \leq θ \leq 9 0^{\circ}

sin (X) = 1

solvefor x,(17)/(sin(x))=(23)/(sin(75))

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