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受欢迎的三角函数 >

3csc(x)-6=0,0<= x<= 360

解答

3 csc (x) - 6 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

解答

x = 3 0^{\circ}, x = 15 0^{\circ}

+1

弧度

x = \frac{π}{6}, x = \frac{5 π}{6}

求解步骤

3 csc (x) - 6 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

将

6

到右边

3 csc (x) - 6 = 0

两边加上

6

3 csc (x) - 6 + 6 = 0 + 6

化简

3 csc (x) = 6

3 csc (x) = 6

两边除以

3

3 csc (x) = 6

两边除以

3

\frac{3 csc ( x )}{3} = \frac{6}{3}

化简

csc (x) = 2

csc (x) = 2

csc (x) = 2

的通解

csc (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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

x = 3 0^{\circ} + 36 0^{\circ} n, x = 15 0^{\circ} + 36 0^{\circ} n

x = 3 0^{\circ} + 36 0^{\circ} n, x = 15 0^{\circ} + 36 0^{\circ} n

在

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

范围内的解

x = 3 0^{\circ}, x = 15 0^{\circ}

作图

流行的例子

-sec^2(x)+1=-5sec(x)-5

- sec^{2} (x) + 1 = - 5 sec (x) - 5

tan^2(x)+4tan(x)+3=0

tan^{2} (x) + 4 tan (x) + 3 = 0

(1+tan(x))^2+(1-tan(x))^2=sec^2(x)

(1 + tan (x))^{2} + (1 - tan (x))^{2} = sec^{2} (x)

tan(x)=-(sqrt(2))/2

tan (x) = - \frac{2}{2}

cot (x) = 1.2