ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cos(x-45)+7=10

الحلّ

4 cos (x - 4 5^{\circ}) + 7 = 10

الحلّ

x = 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}

+1

راديان

x = 0.72273 \dots + \frac{π}{4} + 2 πn, x = 2 π - 0.72273 \dots + \frac{π}{4} + 2 πn

خطوات الحلّ

4 cos (x - 4 5^{\circ}) + 7 = 10

انقل

7

إلى الجانب الأيمن

4 cos (x - 4 5^{\circ}) + 7 = 10

من الطرفين

7

اطرح

4 cos (x - 4 5^{\circ}) + 7 - 7 = 10 - 7

بسّط

4 cos (x - 4 5^{\circ}) = 3

4 cos (x - 4 5^{\circ}) = 3

4

اقسم الطرفين على

4 cos (x - 4 5^{\circ}) = 3

4

اقسم الطرفين على

\frac{4 cos ( x - 4 5 ^{\circ} )}{4} = \frac{3}{4}

بسّط

cos (x - 4 5^{\circ}) = \frac{3}{4}

cos (x - 4 5^{\circ}) = \frac{3}{4}

Apply trig inverse properties

cos (x - 4 5^{\circ}) = \frac{3}{4}

cos (x - 4 5^{\circ}) = \frac{3}{4} :

حلول عامّة لـ

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n, x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n, x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n

حلّ:

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n

انقل

4 5^{\circ}

إلى الجانب الأيمن

x - 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n

للطرفين

4 5^{\circ}

أضف

x - 4 5^{\circ} + 4 5^{\circ} = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

بسّط

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

حلّ:

x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

انقل

4 5^{\circ}

إلى الجانب الأيمن

x - 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n

للطرفين

4 5^{\circ}

أضف

x - 4 5^{\circ} + 4 5^{\circ} = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

بسّط

x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

x = arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - arccos (\frac{3}{4}) + 36 0^{\circ} n + 4 5^{\circ}

أظهر الحلّ بالتمثيل العشريّ

x = 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}, x = 36 0^{\circ} - 0.72273 \dots + 36 0^{\circ} n + 4 5^{\circ}

أمثلة شائعة

cos^2(x)=3(1-sin(x))

cos^{2} (x) = 3 (1 - sin (x))

- 2 = 2 cos (3 θ)

cos (x) = \frac{4}{30}

solvefor t,x=sin(2t)+1 solve for

t, x = sin (2 t) + 1

cos (x) = \frac{4}{35}