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受欢迎的三角函数 >

sqrt(3)sec(x)=2

解答

3 sec (x) = 2

解答

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

度数

x = 3 0^{\circ} + 36 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

求解步骤

3 sec (x) = 2

两边除以

3

3 sec (x) = 2

两边除以

3

\frac{3 sec ( x )}{3} = \frac{2}{3}

化简

\frac{3 sec ( x )}{3} = \frac{2}{3}

化简

\frac{3 sec ( x )}{3} : sec (x)

\frac{3 sec ( x )}{3}

约分:

3

= sec (x)

化简

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

乘以共轭根式

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

sec (x) = \frac{2 3}{3}

sec (x) = \frac{2 3}{3}

sec (x) = \frac{2 3}{3}

sec (x) = \frac{2 3}{3}

的通解

sec (x)

周期表（周期为

2 πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

作图

流行的例子

cot (x) = 2

sin (x) = 0.6

tan (3 x) = - 1

cos (2 x) - 1 = 0

sqrt(2)sin(θ)+1=0

2 sin (θ) + 1 = 0