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受欢迎的三角函数 >

0.26=sin(0.25pit)

解答

0.26 = sin (0.25 π t)

解答

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

+1

度数

t = 19.18779 \dots^{\circ} + 458.36623 \dots^{\circ} n, t = 209.99531 \dots^{\circ} + 458.36623 \dots^{\circ} n

求解步骤

0.26 = sin (0.25 π t)

交换两边

sin (0.25 π t) = 0.26

使用反三角函数性质

sin (0.25 π t) = 0.26

sin (0.25 π t) = 0.26

的通解

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

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

解

0.25 π t = arcsin (0.26) + 2 πn : t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = arcsin (0.26) + 2 πn

两边除以

0.25 π

0.25 π t = arcsin (0.26) + 2 πn

两边除以

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

化简

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

解

0.25 π t = π - arcsin (0.26) + 2 πn : t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = π - arcsin (0.26) + 2 πn

两边除以

0.25 π

0.25 π t = π - arcsin (0.26) + 2 πn

两边除以

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

化简

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

化简

\frac{0.25 π t}{0.25 π} : t

\frac{0.25 π t}{0.25 π}

约分:

0.25

= \frac{π t}{π}

约分:

π

= t

化简

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π} : \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

消掉

\frac{π}{0.25 π} : \frac{1}{0.25}

\frac{π}{0.25 π}

约分:

π

= \frac{1}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

消掉

\frac{2 πn}{0.25 π} : \frac{2 n}{0.25}

\frac{2 πn}{0.25 π}

约分:

π

= \frac{2 n}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

以小数形式表示解

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

作图

流行的例子

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4 csc (θ + \frac{π}{3}) = 2

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sin(A)-0.1*cos(A)=(6.94)/(9.8)

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