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tan(-855)

الحلّ

tan (- 85 5^{\circ})

الحلّ

1

خطوات الحلّ

tan (- 85 5^{\circ})

tan (- x) = - tan (x) :

استخدم القانون التالي

tan (- 85 5^{\circ}) = - tan (85 5^{\circ})

= - tan (85 5^{\circ})

tan (85 5^{\circ}) = tan (13 5^{\circ})

tan (85 5^{\circ})

18 0^{\circ} \cdot 4 + 13 5^{\circ}

كـ

85 5^{\circ}

اكتب مجددًا

= tan (18 0^{\circ} 4 + 13 5^{\circ})

tan (x + 18 0^{\circ} \cdot k) = tan (x)

:

tan :

استخدم دوريّة الـ

tan (18 0^{\circ} \cdot 4 + 13 5^{\circ}) = tan (13 5^{\circ})

= tan (13 5^{\circ})

= - tan (13 5^{\circ})

Rewrite using trig identities:

tan (13 5^{\circ}) = - 1

tan (13 5^{\circ})

Rewrite using trig identities:

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

tan (13 5^{\circ})

tan (x) = \frac{sin ( x )}{cos ( x )}

:Use the basic trigonometric identity

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

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

استخدم المتطابقة الأساسيّة التالية:

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

cos (13 5^{\circ})

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{2}{2}

= \frac{\frac{2}{2}}{- \frac{2}{2}}

\frac{\frac{2}{2}}{- \frac{2}{2}}

بسّط:

- 1

\frac{\frac{2}{2}}{- \frac{2}{2}}

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

: استخدم ميزات الكسور التالية

= - \frac{\frac{2}{2}}{\frac{2}{2}}

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

:اقسم الكسور

= - \frac{2 \cdot 2}{2 2}

2 :

إلغ العوامل المشتركة

= - \frac{2}{2}

2 :

إلغ العوامل المشتركة

= - 1

= - 1

= - (- 1)

بسّط

= 1

أمثلة شائعة

csc (θ) + 2 = 0

sin(2x)-cos(x)=0

sin (2 x) - cos (x) = 0

identity cos^2(x)identity

cos^{2} (x)

solvefor y,0=x^2cos^3(y)solve for

y, 0 = x^{2} cos^{3} (y)

tan(θ)=sqrt(3)

tan (θ) = 3