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受欢迎的三角函数 >

7tan(c)+7=2tan(c)+1

解答

7 tan (c) + 7 = 2 tan (c) + 1

解答

c = - 0.87605 \dots + πn

+1

度数

c = - 50.19442 \dots^{\circ} + 18 0^{\circ} n

求解步骤

7 tan (c) + 7 = 2 tan (c) + 1

用替代法求解

7 tan (c) + 7 = 2 tan (c) + 1

令

: tan (c) = u

7 u + 7 = 2 u + 1

7 u + 7 = 2 u + 1 : u = - \frac{6}{5}

7 u + 7 = 2 u + 1

将

7

到右边

7 u + 7 = 2 u + 1

两边减去

7

7 u + 7 - 7 = 2 u + 1 - 7

化简

7 u = 2 u - 6

7 u = 2 u - 6

将

2 u

para o lado esquerdo

7 u = 2 u - 6

两边减去

2 u

7 u - 2 u = 2 u - 6 - 2 u

化简

5 u = - 6

5 u = - 6

两边除以

5

5 u = - 6

两边除以

5

\frac{5 u}{5} = \frac{- 6}{5}

化简

u = - \frac{6}{5}

u = - \frac{6}{5}

u = tan (c)

代回

tan (c) = - \frac{6}{5}

tan (c) = - \frac{6}{5}

tan (c) = - \frac{6}{5} : c = arctan (- \frac{6}{5}) + πn

tan (c) = - \frac{6}{5}

使用反三角函数性质

tan (c) = - \frac{6}{5}

tan (c) = - \frac{6}{5}

的通解

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

c = arctan (- \frac{6}{5}) + πn

c = arctan (- \frac{6}{5}) + πn

合并所有解

c = arctan (- \frac{6}{5}) + πn

以小数形式表示解

c = - 0.87605 \dots + πn

作图

流行的例子

cos(2x)cos(x)-sin(2x)sin(x)=1

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

sin(x-pi/2)=-(sqrt(2))/2

sin (x - \frac{π}{2}) = - \frac{2}{2}

cos (x) = \frac{1}{10}

- 8 sin (θ) + 5 = 5

4sqrt(3)sec(θ)+7=-1

43 sec (θ) + 7 = - 1