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شائع >

csc(495)

الحلّ

csc (49 5^{\circ})

الحلّ

2

+1

عشري

1.41421 \dots

خطوات الحلّ

csc (49 5^{\circ})

csc (49 5^{\circ}) = csc (13 5^{\circ})

csc (49 5^{\circ})

36 0^{\circ} + 13 5^{\circ}

كـ

49 5^{\circ}

اكتب مجددًا

= csc (36 0^{\circ} + 13 5^{\circ})

csc (x + 36 0^{\circ}) = csc (x)

:

csc :

استخدم دوريّة الـ

csc (36 0^{\circ} + 13 5^{\circ}) = csc (13 5^{\circ})

= csc (13 5^{\circ})

= csc (13 5^{\circ})

Rewrite using trig identities:

\frac{1}{sin ( 13 5 ^{\circ} )}

csc (13 5^{\circ})

csc (x) = \frac{1}{sin ( x )}

:Use the basic trigonometric identity

= \frac{1}{sin ( 13 5 ^{\circ} )}

= \frac{1}{sin ( 13 5 ^{\circ} )}

استخدم المتطابقة الأساسيّة التالية:

sin (13 5^{\circ}) = \frac{2}{2}

sin (13 5^{\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{2}{2}

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

\frac{1}{\frac{2}{2}}

بسّط:

2

\frac{1}{\frac{2}{2}}

\frac{1}{\frac{b}{c}} = \frac{c}{b}

: استخدم ميزات الكسور التالية

= \frac{2}{2}

n a = a^{\frac{1}{n}}

:فعْل قانون الجذور

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

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

\frac{x ^{a}}{x ^{b}} = x^{a - b}

:فعّل قانون القوى

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

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

1 - \frac{1}{2} = \frac{1}{2} :

اطرح الأعداد

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

a^{\frac{1}{n}} = n a

:فعْل قانون الجذور

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

= 2

= 2

أمثلة شائعة

sec((9pi)/(11))

sec (\frac{9 π}{11})

tan(12)-cot(78)

tan (1 2^{\circ}) - cot (7 8^{\circ})

(200)/(cos(30))

\frac{200}{cos ( 3 0 ^{\circ} )}

arctan((2sqrt(2))/(-2sqrt(2)))

arctan (\frac{2 2}{- 2 2})

\frac{20}{tan ( 3 0 ^{\circ} )}