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受欢迎的三角函数 >

2tan(2x)-6=0

解答

2 tan (2 x) - 6 = 0

解答

x = \frac{1.24904 \dots}{2} + \frac{πn}{2}

+1

度数

x = 35.78252 \dots^{\circ} + 9 0^{\circ} n

求解步骤

2 tan (2 x) - 6 = 0

将

6

到右边

2 tan (2 x) - 6 = 0

两边加上

6

2 tan (2 x) - 6 + 6 = 0 + 6

化简

2 tan (2 x) = 6

2 tan (2 x) = 6

两边除以

2

2 tan (2 x) = 6

两边除以

2

\frac{2 tan ( 2 x )}{2} = \frac{6}{2}

化简

tan (2 x) = 3

tan (2 x) = 3

使用反三角函数性质

tan (2 x) = 3

tan (2 x) = 3

的通解

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (3) + πn

2 x = arctan (3) + πn

解

2 x = arctan (3) + πn : x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

2 x = arctan (3) + πn

两边除以

2

2 x = arctan (3) + πn

两边除以

2

\frac{2 x}{2} = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

化简

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

以小数形式表示解

x = \frac{1.24904 \dots}{2} + \frac{πn}{2}

作图

流行的例子

8sin(θ)+15cos(θ)=18

8 sin (θ) + 15 cos (θ) = 18

(30)/(sin(A))=(34.4)/(sin(62))

\frac{30}{sin ( A )} = \frac{34.4}{sin ( 6 2 ^{\circ} )}

-5sin(x)=-2cos^2(x)+4,0<= x<= 2pi

- 5 sin (x) = - 2 cos^{2} (x) + 4, 0 \leq x \leq 2 π

solvefor t,4.6=0.106cos(4.36t)

so l v e f or t, 4.6 = 0.106 cos (4.36 t)

sin (x) = \frac{23}{24}