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受欢迎的三角函数 >

4sec(x)+8=0,0<= x<= 360

解答

4 sec (x) + 8 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

解答

x = 12 0^{\circ}, x = 24 0^{\circ}

+1

弧度

x = \frac{2 π}{3}, x = \frac{4 π}{3}

求解步骤

4 sec (x) + 8 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

将

8

到右边

4 sec (x) + 8 = 0

两边减去

8

4 sec (x) + 8 - 8 = 0 - 8

化简

4 sec (x) = - 8

4 sec (x) = - 8

两边除以

4

4 sec (x) = - 8

两边除以

4

\frac{4 sec ( x )}{4} = \frac{- 8}{4}

化简

\frac{4 sec ( x )}{4} = \frac{- 8}{4}

化简

\frac{4 sec ( x )}{4} : sec (x)

\frac{4 sec ( x )}{4}

数字相除:

\frac{4}{4} = 1

= sec (x)

化简

\frac{- 8}{4} : - 2

\frac{- 8}{4}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{8}{4}

数字相除:

\frac{8}{4} = 2

= - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

的通解

sec (x)

周期表（周期为

36 0^{\circ} n

）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

在

0 \leq x \leq 36 0^{\circ}

范围内的解

x = 12 0^{\circ}, x = 24 0^{\circ}

作图

流行的例子

tan (x) = 1.732

3cos(x/2)-cos(x)=2

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

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

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

solvefor x,z=sin(x^2+y^2)

so l v e f or x, z = sin (x^{2} + y^{2})

tan(θ)=(78.48)/(196.2)

tan (θ) = \frac{78.48}{196.2}