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受欢迎的三角函数 >

-1=sin(k)(45)

解答

- 1 = sin (k) (45)

解答

k = - 0.02222 \dots + 2 πn, k = π + 0.02222 \dots + 2 πn

+1

度数

k = - 1.27334 \dots^{\circ} + 36 0^{\circ} n, k = 181.27334 \dots^{\circ} + 36 0^{\circ} n

求解步骤

- 1 = sin (k) (45)

交换两边

sin (k) \cdot 45 = - 1

两边除以

45

sin (k) \cdot 45 = - 1

两边除以

45

\frac{sin ( k ) \cdot 45}{45} = \frac{- 1}{45}

化简

sin (k) = - \frac{1}{45}

sin (k) = - \frac{1}{45}

使用反三角函数性质

sin (k) = - \frac{1}{45}

sin (k) = - \frac{1}{45}

的通解

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

k = arcsin (- \frac{1}{45}) + 2 πn, k = π + arcsin (\frac{1}{45}) + 2 πn

k = arcsin (- \frac{1}{45}) + 2 πn, k = π + arcsin (\frac{1}{45}) + 2 πn

以小数形式表示解

k = - 0.02222 \dots + 2 πn, k = π + 0.02222 \dots + 2 πn

作图

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- 494 cos (A) = - 241

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