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受欢迎的三角函数 >

2sec^2(x)tan(x)=0

解答

2 sec^{2} (x) tan (x) = 0

解答

x = πn

+1

度数

x = 0^{\circ} + 18 0^{\circ} n

求解步骤

2 sec^{2} (x) tan (x) = 0

分别求解每个部分

sec^{2} (x) = 0 or tan (x) = 0

sec^{2} (x) = 0 :

无解

sec^{2} (x) = 0

使用法则

x^{n} = 0 \Rightarrow x = 0

sec (x) = 0

sec (x) \leq - 1 or sec (x) \geq 1

无解

tan (x) = 0 : x = πn

tan (x) = 0

tan (x) = 0

的通解

tan (x)

周期表（周期为

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = 0 + πn

x = 0 + πn

解

x = 0 + πn : x = πn

x = 0 + πn

0 + πn = πn

x = πn

x = πn

合并所有解

x = πn

作图

流行的例子

2sin^2(x)-5sin(x)=-2

2 sin^{2} (x) - 5 sin (x) = - 2

8sin^2(x)+6sin(x)+1=0

8 sin^{2} (x) + 6 sin (x) + 1 = 0

sin (\frac{θ}{2}) = 0

tan(θ/2-pi/4)=1

tan (\frac{θ}{2} - \frac{π}{4}) = 1

cos^2(x)-3cos(x)+2=0

cos^{2} (x) - 3 cos (x) + 2 = 0