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受欢迎的三角函数 >

1.5=6sin(x)

解答

1.5 = 6 sin (x)

解答

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

+1

度数

x = 14.47751 \dots^{\circ} + 36 0^{\circ} n, x = 165.52248 \dots^{\circ} + 36 0^{\circ} n

求解步骤

1.5 = 6 sin (x)

交换两边

6 sin (x) = 1.5

两边除以

6

6 sin (x) = 1.5

两边除以

6

\frac{6 sin ( x )}{6} = \frac{1.5}{6}

化简

sin (x) = 0.25

sin (x) = 0.25

使用反三角函数性质

sin (x) = 0.25

sin (x) = 0.25

的通解

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

x = arcsin (0.25) + 2 πn, x = π - arcsin (0.25) + 2 πn

x = arcsin (0.25) + 2 πn, x = π - arcsin (0.25) + 2 πn

以小数形式表示解

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

作图

流行的例子

(2sin(x)-1)/(3*cos(x))=0

tan(θ)= 34400/254

2sin(x)=-1,-pi<= x<= pi

cot(-pi/5)-sec(x)=1.5

1/(cos^2(x))+(1/(2cos(x)))=0