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受欢迎的三角函数 >

sin(6.5x+2.5)=0.0851

解答

sin (6.5 x + 2.5) = 0.0851

解答

x = \frac{0.08520 \dots}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}, x = \frac{π}{6.5} - \frac{0.08520 \dots}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

+1

度数

x = - 21.28579 \dots^{\circ} + 55.38461 \dots^{\circ} n, x = 4.90442 \dots^{\circ} + 55.38461 \dots^{\circ} n

求解步骤

sin (6.5 x + 2.5) = 0.0851

使用反三角函数性质

sin (6.5 x + 2.5) = 0.0851

sin (6.5 x + 2.5) = 0.0851

的通解

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

6.5 x + 2.5 = arcsin (0.0851) + 2 πn, 6.5 x + 2.5 = π - arcsin (0.0851) + 2 πn

6.5 x + 2.5 = arcsin (0.0851) + 2 πn, 6.5 x + 2.5 = π - arcsin (0.0851) + 2 πn

解

6.5 x + 2.5 = arcsin (0.0851) + 2 πn : x = \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

6.5 x + 2.5 = arcsin (0.0851) + 2 πn

将

2.5

到右边

6.5 x + 2.5 = arcsin (0.0851) + 2 πn

两边减去

2.5

6.5 x + 2.5 - 2.5 = arcsin (0.0851) + 2 πn - 2.5

化简

6.5 x = arcsin (0.0851) + 2 πn - 2.5

6.5 x = arcsin (0.0851) + 2 πn - 2.5

两边除以

6.5

6.5 x = arcsin (0.0851) + 2 πn - 2.5

两边除以

6.5

\frac{6.5 x}{6.5} = \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

化简

x = \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

x = \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

解

6.5 x + 2.5 = π - arcsin (0.0851) + 2 πn : x = \frac{π}{6.5} - \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

6.5 x + 2.5 = π - arcsin (0.0851) + 2 πn

将

2.5

到右边

6.5 x + 2.5 = π - arcsin (0.0851) + 2 πn

两边减去

2.5

6.5 x + 2.5 - 2.5 = π - arcsin (0.0851) + 2 πn - 2.5

化简

6.5 x = π - arcsin (0.0851) + 2 πn - 2.5

6.5 x = π - arcsin (0.0851) + 2 πn - 2.5

两边除以

6.5

6.5 x = π - arcsin (0.0851) + 2 πn - 2.5

两边除以

6.5

\frac{6.5 x}{6.5} = \frac{π}{6.5} - \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

化简

x = \frac{π}{6.5} - \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

x = \frac{π}{6.5} - \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

x = \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}, x = \frac{π}{6.5} - \frac{arcsin ( 0.0851 )}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

以小数形式表示解

x = \frac{0.08520 \dots}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}, x = \frac{π}{6.5} - \frac{0.08520 \dots}{6.5} + \frac{2 πn}{6.5} - \frac{2.5}{6.5}

作图

流行的例子

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1 - tan (x) = \frac{- 1}{3}

sin(x/3)=cos(x/2)

sin (\frac{x}{3}) = cos (\frac{x}{2})

cos(x)=(cot^2(x))/(csc^2(x))

cos (x) = \frac{cot ^{2} ( x )}{csc ^{2} ( x )}

2tan^2(x)-3cot^2(x)=5

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solvefor x,13y=cos^4(1-2x)

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