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شائع علم المثلثات >

((6)^2sin^2(30))/(9.8)

الحلّ

\frac{( 6 ) ^{2} sin ^{2} ( 3 0 ^{\circ} )}{9.8}

الحلّ

\frac{45}{49}

+1

عشري

0.91836 \dots

خطوات الحلّ

\frac{( 6 ) ^{2} sin ^{2} ( 3 0 ^{\circ} )}{9.8}

= \frac{6 ^{2} sin ^{2} ( 3 0 ^{\circ} )}{\frac{49}{5}}

استخدم المتطابقة الأساسيّة التالية:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 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}

= \frac{1}{2}

= \frac{6 ^{2} ( \frac{1}{2} ) ^{2}}{\frac{49}{5}}

\frac{6 ^{2} ( \frac{1}{2} ) ^{2}}{\frac{49}{5}}

بسّط:

\frac{45}{49}

\frac{6 ^{2} ( \frac{1}{2} ) ^{2}}{\frac{49}{5}}

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

: استخدم ميزات الكسور التالية

= \frac{6 ^{2} ( \frac{1}{2} ) ^{2} \cdot 5}{49}

(\frac{1}{2})^{2} = \frac{1}{2 ^{2}}

(\frac{1}{2})^{2}

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

:فعّل قانون القوى

= \frac{1 ^{2}}{2 ^{2}}

1^{a} = 1

فعّل القانون

1^{2} = 1

= \frac{1}{2 ^{2}}

= \frac{6 ^{2} \cdot 5 \cdot \frac{1}{2 ^{2}}}{49}

6^{2} \cdot \frac{1}{2 ^{2}} \cdot 5

اضرب بـ:

45

6^{2} \cdot \frac{1}{2 ^{2}} \cdot 5

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

:اضرب كسور

= \frac{1 \cdot 6 ^{2} \cdot 5}{2 ^{2}}

1 \cdot 5 = 5 :

اضرب الأعداد

= \frac{6 ^{2} \cdot 5}{2 ^{2}}

6^{2}

حلل إلى عوامل:

2^{2} \cdot 3^{2}

6 = 2 \cdot 3

حلّل إلى عوامل

= (2 \cdot 3)^{2}

(ab)^{c} = a^{c} b^{c}

:فعّل قانون القوى

= 2^{2} \cdot 3^{2}

= \frac{2 ^{2} \cdot 3 ^{2} \cdot 5}{2 ^{2}}

2^{2} :

إلغ العوامل المشتركة

= 3^{2} \cdot 5

3^{2} = 9

= 9 \cdot 5

9 \cdot 5 = 45 :

اضرب الأعداد

= 45

= \frac{45}{49}

= \frac{45}{49}

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arctan(4/(sqrt(6)))

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(sin(30)+csc(30))/(sin^2(30)+cos^2(60))

\frac{sin ( 3 0 ^{\circ} ) + csc ( 3 0 ^{\circ} )}{sin ^{2} ( 3 0 ^{\circ} ) + cos ^{2} ( 6 0 ^{\circ} )}

(cos(12))/(1.17)

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