cos(θ)=(800cos(70))/(425)

Solución

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

radianes

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

Pasos de solución

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

Eliminar los terminos comunes:

25

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

Aplicar propiedades trigonométricas inversas

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

Soluciones generales para

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

Mostrar soluciones en forma decimal

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

2 sin (x) + \frac{3}{4} = \frac{3}{2}

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

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

- 3 sin (θ) = 0