cos(θ)=(800cos(70))/(425)

Lösung

cos (θ) = \frac{800 cos ( 7 0 ^{\circ} )}{425}

θ = 0.87133 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 0.87133 \dots + 36 0^{\circ} n

Radianten

θ = 0.87133 \dots + 2 πn, θ = 2 π - 0.87133 \dots + 2 πn

Schritte zur Lösung

cos (θ) = \frac{800 cos ( 7 0 ^{\circ} )}{425}

Streiche die gemeinsamen Faktoren:

25

cos (θ) = \frac{32 cos ( 7 0 ^{\circ} )}{17}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{32 cos ( 7 0 ^{\circ} )}{17}

Allgemeine Lösung für

cos (θ) = \frac{32 cos ( 7 0 ^{\circ} )}{17}

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

θ = arccos (\frac{32 cos ( 7 0 ^{\circ} )}{17}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{32 cos ( 7 0 ^{\circ} )}{17}) + 36 0^{\circ} n

θ = arccos (\frac{32 cos ( 7 0 ^{\circ} )}{17}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{32 cos ( 7 0 ^{\circ} )}{17}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

θ = 0.87133 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 0.87133 \dots + 36 0^{\circ} n

csc^{(2)} (x) - cot (x) = 2, 0 <, x < 360

20 = 27 sin (x) - 1.5 cos (x)

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

cos (12 x) = 0

sin (α) = - \frac{3}{5}