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受欢迎的三角函数 >

4+5sin(x)=1

解答

4 + 5 sin (x) = 1

解答

x = - 0.64350 \dots + 2 πn, x = π + 0.64350 \dots + 2 πn

+1

度数

x = - 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 216.86989 \dots^{\circ} + 36 0^{\circ} n

求解步骤

4 + 5 sin (x) = 1

将

4

到右边

4 + 5 sin (x) = 1

两边减去

4

4 + 5 sin (x) - 4 = 1 - 4

化简

5 sin (x) = - 3

5 sin (x) = - 3

两边除以

5

5 sin (x) = - 3

两边除以

5

\frac{5 sin ( x )}{5} = \frac{- 3}{5}

化简

sin (x) = - \frac{3}{5}

sin (x) = - \frac{3}{5}

使用反三角函数性质

sin (x) = - \frac{3}{5}

sin (x) = - \frac{3}{5}

的通解

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

x = arcsin (- \frac{3}{5}) + 2 πn, x = π + arcsin (\frac{3}{5}) + 2 πn

x = arcsin (- \frac{3}{5}) + 2 πn, x = π + arcsin (\frac{3}{5}) + 2 πn

以小数形式表示解

x = - 0.64350 \dots + 2 πn, x = π + 0.64350 \dots + 2 πn

作图

流行的例子

120=23sin(pi/6 (x))+107

120 = 23 sin (\frac{π}{6} (x)) + 107

4 sin (3 θ) = 2

cos(x)=cos(3x)+2sin(2x)

cos (x) = cos (3 x) + 2 sin (2 x)

csc(x)(2sin(x)-sqrt(2))=0

csc (x) (2 sin (x) - 2) = 0

(700)/(sin(90))=(236.3277)/(sin(θ))

\frac{700}{sin ( 9 0 ^{\circ} )} = \frac{236.3277}{sin ( θ )}