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受欢迎的三角函数 >

cos(x)= 2/(sqrt(29))

解答

cos (x) = \frac{2}{29}

解答

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

+1

弧度

x = 1.19028 \dots + 6.28318 \dots n, x = 5.09289 \dots + 6.28318 \dots n

求解步骤

cos (x) = \frac{2}{29}

化简

\frac{2}{29} : \frac{2 29}{29}

\frac{2}{29}

乘以共轭根式

\frac{29}{29}

= \frac{2 29}{29 29}

2929 = 29

2929

使用根式运算法则:

a a = a

2929 = 29

= 29

= \frac{2 29}{29}

cos (x) = \frac{2 29}{29}

使用反三角函数性质

cos (x) = \frac{2 29}{29}

cos (x) = \frac{2 29}{29}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{2 29}{29}) + 2 πn, x = 2 π - arccos (\frac{2 29}{29}) + 2 πn

x = arccos (\frac{2 29}{29}) + 2 πn, x = 2 π - arccos (\frac{2 29}{29}) + 2 πn

以小数形式表示解

x = 1.19028 \dots + 2 πn, x = 2 π - 1.19028 \dots + 2 πn

作图

流行的例子

cos (x) = 100

1.58*sin(34)=1(sin(θ))

1.58 \cdot sin (3 4^{\circ}) = 1 (sin (θ))

4.3^2=3.8^2+6.3^2+2(3.8)(6.3)cos(b)

4. 3^{2} = 3. 8^{2} + 6. 3^{2} + 2 (3.8) (6.3) cos (b)

cos^2(x)-4cos(x)+4=0

cos^{2} (x) - 4 cos (x) + 4 = 0

csc(θ)=(sqrt(34))/3 ,cos(θ)>0

csc (θ) = \frac{34}{3}, cos (θ) > 0