ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع علم المثلثات >

(sin(90)}{5.8}=\frac{sin(x))/5

الحلّ

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

الحلّ

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

+1

راديان

x = 1.03933 \dots + 2 πn, x = π - 1.03933 \dots + 2 πn

خطوات الحلّ

\frac{sin ( 9 0 ^{\circ} )}{5.8} = \frac{sin ( x )}{5}

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

استخدم المتطابقة الأساسيّة التالية:

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1

\frac{1}{5.8} = \frac{sin ( x )}{5}

بدّل الأطراف

\frac{sin ( x )}{5} = \frac{1}{5.8}

5

اضرب الطرفين بـ

\frac{sin ( x )}{5} = \frac{1}{5.8}

5

اضرب الطرفين بـ

\frac{5 sin ( x )}{5} = \frac{1 \cdot 5}{5.8}

بسّط

\frac{5 sin ( x )}{5} = \frac{1 \cdot 5}{5.8}

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

بسّط:

sin (x)

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

\frac{5}{5} = 1 :

اقسم الأعداد

= sin (x)

\frac{1 \cdot 5}{5.8}

بسّط:

0.86206 \dots

\frac{1 \cdot 5}{5.8}

1 \cdot 5 = 5 :

اضرب الأعداد

= \frac{5}{5.8}

\frac{5}{5.8} = 0.86206 \dots :

اقسم الأعداد

= 0.86206 \dots

sin (x) = 0.86206 \dots

sin (x) = 0.86206 \dots

sin (x) = 0.86206 \dots

Apply trig inverse properties

sin (x) = 0.86206 \dots

sin (x) = 0.86206 \dots :

حلول عامّة لـ

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (0.86206 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.86206 \dots) + 36 0^{\circ} n

x = arcsin (0.86206 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.86206 \dots) + 36 0^{\circ} n

أظهر الحلّ بالتمثيل العشريّ

x = 1.03933 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03933 \dots + 36 0^{\circ} n

رسم

أمثلة شائعة

6cos^2(x)-sin(x)-5=0,0<= x<= 2pi

6 cos^{2} (x) - sin (x) - 5 = 0, 0 \leq x \leq 2 π

sin(4x)=sin(3x)

sin (4 x) = sin (3 x)

4 cos (x) + 3 = 5

8/(sin(38))= 6/(sin(a))

\frac{8}{sin ( 3 8 ^{\circ} )} = \frac{6}{sin ( a )}

sin(x)=(-sqrt(3))/2 ,270<x<360

sin (x) = \frac{- 3}{2}, 27 0^{\circ} < x < 36 0^{\circ}