tan(x)= 100/23

解答

tan (x) = \frac{100}{23}

x = 1.34472 \dots + πn

度数

x = 77.04723 \dots^{\circ} + 18 0^{\circ} n

求解步骤

tan (x) = \frac{100}{23}

使用反三角函数性质

tan (x) = \frac{100}{23}

tan (x) = \frac{100}{23}

的通解

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

x = arctan (\frac{100}{23}) + πn

x = arctan (\frac{100}{23}) + πn

以小数形式表示解

x = 1.34472 \dots + πn

4 sin (\frac{x}{2}) + 4 cos (x) = 0

cos (θ) cos (θ) = cot (θ)

3 sin (θ) - cos (2 θ) = 1

sin (θ) = \frac{28}{53}, sin (2 θ)

arctan (x) = 5^{\circ}