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受欢迎的三角函数 >

sin(θ)= 2/6

解答

sin (θ) = \frac{2}{6}

解答

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

+1

度数

θ = 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 160.52877 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (θ) = \frac{2}{6}

约分:

2

sin (θ) = \frac{1}{3}

使用反三角函数性质

sin (θ) = \frac{1}{3}

sin (θ) = \frac{1}{3}

的通解

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

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

以小数形式表示解

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

作图

流行的例子

3 sin (2 x) = - 2

solvefor x,arctan(y)=2arctan(x)

so l v e f or x, arctan (y) = 2 arctan (x)

sin(2x)=-sqrt(3/2)

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

tan(x)=(7.3)/(6.8)

tan (x) = \frac{7.3}{6.8}

cot(θ)=(sqrt(13))/6

cot (θ) = \frac{13}{6}