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受欢迎的三角函数 >

4csc(B)+5=0

解答

4 csc (B) + 5 = 0

解答

B = - 0.92729 \dots + 2 πn, B = π + 0.92729 \dots + 2 πn

+1

度数

B = - 53.13010 \dots^{\circ} + 36 0^{\circ} n, B = 233.13010 \dots^{\circ} + 36 0^{\circ} n

求解步骤

4 csc (B) + 5 = 0

将

5

到右边

4 csc (B) + 5 = 0

两边减去

5

4 csc (B) + 5 - 5 = 0 - 5

化简

4 csc (B) = - 5

4 csc (B) = - 5

两边除以

4

4 csc (B) = - 5

两边除以

4

\frac{4 csc ( B )}{4} = \frac{- 5}{4}

化简

csc (B) = - \frac{5}{4}

csc (B) = - \frac{5}{4}

使用反三角函数性质

csc (B) = - \frac{5}{4}

csc (B) = - \frac{5}{4}

的通解

csc (x) = - a \Rightarrow x = arccsc (- a) + 2 πn, x = π + arccsc (a) + 2 πn

B = arccsc (- \frac{5}{4}) + 2 πn, B = π + arccsc (\frac{5}{4}) + 2 πn

B = arccsc (- \frac{5}{4}) + 2 πn, B = π + arccsc (\frac{5}{4}) + 2 πn

以小数形式表示解

B = - 0.92729 \dots + 2 πn, B = π + 0.92729 \dots + 2 πn

作图

流行的例子

2cos(pi/5 x)=sqrt(3)

2 cos (\frac{π}{5} x) = 3

sin^2(x)+8sin(x)-1=0

sin^{2} (x) + 8 sin (x) - 1 = 0

solvefor x,y=arctan(2x+3y)

so l v e f or x, y = arctan (2 x + 3 y)

sin(2x)=0.89583

sin (2 x) = 0.89583

tan(θ)=1.234,θ

tan (θ) = 1.234, θ