zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

sin(x)= 10/14

解答

sin (x) = \frac{10}{14}

解答

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

+1

度数

x = 45.58469 \dots^{\circ} + 36 0^{\circ} n, x = 134.41530 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{10}{14}

约分:

2

sin (x) = \frac{5}{7}

使用反三角函数性质

sin (x) = \frac{5}{7}

sin (x) = \frac{5}{7}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{5}{7}) + 2 πn, x = π - arcsin (\frac{5}{7}) + 2 πn

x = arcsin (\frac{5}{7}) + 2 πn, x = π - arcsin (\frac{5}{7}) + 2 πn

以小数形式表示解

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

作图

流行的例子

cos (x) = \frac{9}{15}

8sin^2(x)+12sin(x)+4=0

8 sin^{2} (x) + 12 sin (x) + 4 = 0

4sin^2(x)=cos(x)+1

4 sin^{2} (x) = cos (x) + 1

0 = 4 sin (x)

sec^2(θ)(1+cos^2(θ))=2-tan^2(θ)

sec^{2} (θ) (1 + cos^{2} (θ)) = 2 - tan^{2} (θ)