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受欢迎的三角函数 >

sin(x)= 10/50

解答

sin (x) = \frac{10}{50}

解答

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

+1

度数

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{10}{50}

约分:

10

sin (x) = \frac{1}{5}

使用反三角函数性质

sin (x) = \frac{1}{5}

sin (x) = \frac{1}{5}

的通解

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

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

以小数形式表示解

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

作图

流行的例子

6sin(4x)+4=5,0<= x<= 2pi

6 sin (4 x) + 4 = 5, 0 \leq x \leq 2 π

sqrt(3)tan(x)=3

3 tan (x) = 3

solvefor t,y=sin(t)

so l v e f or t, y = sin (t)

sec^2(q)=sec(q)+2

sec^{2} (q) = sec (q) + 2

sin (θ) + 4 = 3