300cos(70)=375cos(θ)

Lösung

300 cos (7 0^{\circ}) = 375 cos (θ)

θ = 1.29364 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.29364 \dots + 36 0^{\circ} n

Radianten

θ = 1.29364 \dots + 2 πn, θ = 2 π - 1.29364 \dots + 2 πn

Schritte zur Lösung

300 cos (7 0^{\circ}) = 375 cos (θ)

Tausche die Seiten

375 cos (θ) = 300 cos (7 0^{\circ})

Teile beide Seiten durch

375

375 cos (θ) = 300 cos (7 0^{\circ})

Teile beide Seiten durch

375

\frac{375 cos ( θ )}{375} = \frac{300 cos ( 7 0 ^{\circ} )}{375}

Vereinfache

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

Allgemeine Lösung für

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

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

θ = arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n

θ = arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

θ = 1.29364 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.29364 \dots + 36 0^{\circ} n

812.25 = 399.6001 + 400 - 1140 cos (a)

- 0.6 = sin (2 x)

so l v e f or x, (sin (π x) + cos (π y))^{5} = 36

sin (θ) = - \frac{2}{2}, 0 \leq θ < 2 π

2 sin (\frac{1}{2} x) + 2 = 0