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受欢迎的三角函数 >

sin(x)= 10/12

解答

sin (x) = \frac{10}{12}

解答

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

+1

度数

x = 56.44269 \dots^{\circ} + 36 0^{\circ} n, x = 123.55730 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{10}{12}

约分:

2

sin (x) = \frac{5}{6}

使用反三角函数性质

sin (x) = \frac{5}{6}

sin (x) = \frac{5}{6}

的通解

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

x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

以小数形式表示解

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

作图

流行的例子

sqrt(3)cot(x)=-1,0<= x<= 2pi

3 cot (x) = - 1, 0 \leq x \leq 2 π

sin (x) = \frac{10}{14}

cos (x) = \frac{9}{15}

8sin^2(x)+12sin(x)+4=0

8 sin^{2} (x) + 12 sin (x) + 4 = 0

4sin^2(x)=cos(x)+1

4 sin^{2} (x) = cos (x) + 1