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受欢迎的三角函数 >

4tan(A)=2tan(A)-sqrt(2)

解答

4 tan (A) = 2 tan (A) - 2

解答

A = - 0.61547 \dots + πn

+1

度数

A = - 35.26438 \dots^{\circ} + 18 0^{\circ} n

求解步骤

4 tan (A) = 2 tan (A) - 2

用替代法求解

4 tan (A) = 2 tan (A) - 2

令

: tan (A) = u

4 u = 2 u - 2

4 u = 2 u - 2 : u = - \frac{2}{2}

4 u = 2 u - 2

将

2 u

para o lado esquerdo

4 u = 2 u - 2

两边减去

2 u

4 u - 2 u = 2 u - 2 - 2 u

化简

2 u = - 2

2 u = - 2

两边除以

2

2 u = - 2

两边除以

2

\frac{2 u}{2} = \frac{- 2}{2}

化简

u = - \frac{2}{2}

u = - \frac{2}{2}

u = tan (A)

代回

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

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

tan (A) = - \frac{2}{2} : A = arctan (- \frac{2}{2}) + πn

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

使用反三角函数性质

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

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

的通解

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

A = arctan (- \frac{2}{2}) + πn

A = arctan (- \frac{2}{2}) + πn

合并所有解

A = arctan (- \frac{2}{2}) + πn

以小数形式表示解

A = - 0.61547 \dots + πn

作图

流行的例子

2sin(θ)=tan(θ)

2 sin (θ) = tan (θ)

sec (θ) = - 2.5

cos(4x)=0,0<= x<= 2pi

cos (4 x) = 0, 0 \leq x \leq 2 π

(csc(x))/(cot(x))=csc(x)sec(x)

\frac{csc ( x )}{cot ( x )} = csc (x) sec (x)

sin(θ)= 1/(sqrt(3))

sin (θ) = \frac{1}{3}