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شائع >

1.5sqrt(2)=3cos(x)

الحلّ

1.5 2 = 3 cos (x)

الحلّ

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

+1

درجات

x = 4 5^{\circ} + 36 0^{\circ} n, x = 31 5^{\circ} + 36 0^{\circ} n

خطوات الحلّ

1.5 2 = 3 cos (x)

بدّل الأطراف

3 cos (x) = 1.5 2

10

اضرب الطرفين بـ

3 cos (x) = 1.5 2

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

3 cos (x) \cdot 10 = 1.5 2 \cdot 10

بسّط

30 cos (x) = 152

30 cos (x) = 152

30

اقسم الطرفين على

30 cos (x) = 152

30

اقسم الطرفين على

\frac{30 cos ( x )}{30} = \frac{15 2}{30}

بسّط

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

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

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

حلول عامّة لـ

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

رسم

أمثلة شائعة

(sin(59))/8 =(sin(x))/(9.25)

\frac{sin ( 5 9 ^{\circ} )}{8} = \frac{sin ( x )}{9.25}

2 a \cdot cos (θ) = 0

(sin^3(x))/(cos^3(x)-cos(x))=tan(x)

\frac{sin ^{3} ( x )}{cos ^{3} ( x ) - cos ( x )} = tan (x)

4sin(t)-3cos(t)=0

4 sin (t) - 3 cos (t) = 0

2-3sin(θ)=cos(θ)

2 - 3 sin (θ) = cos (θ)