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Popular >

cos(76)sec(8x+4)=1

Solución

cos (7 6^{\circ}) sec (8 x + 4) = 1

Solución

x = - \frac{1}{2} + \frac{18 0 ^{\circ} n}{4} + \frac{1.32645 \dots}{8}, x = - \frac{1}{2} + 4 5^{\circ} + \frac{18 0 ^{\circ} n}{4} - \frac{1.32645 \dots}{8}

+1

Pasos de solución

cos (7 6^{\circ}) sec (8 x + 4) = 1

Dividir ambos lados entre

cos (7 6^{\circ})

sec (8 x + 4) = \frac{1}{cos ( 7 6 ^{\circ} )}

Aplicar propiedades trigonométricas inversas

8 x + 4 = arcsec (\frac{1}{cos ( 7 6 ^{\circ} )}) + 36 0^{\circ} n, 8 x + 4 = 36 0^{\circ} - arcsec (\frac{1}{cos ( 7 6 ^{\circ} )}) + 36 0^{\circ} n

Resolver

8 x + 4 = arcsec (\frac{1}{cos ( 7 6 ^{\circ} )}) + 36 0^{\circ} n : x = - \frac{1}{2} + \frac{18 0 ^{\circ} n}{4} + \frac{arcsec ( \frac{1}{c o s ( 7 6 ^{\circ} )} )}{8}

Resolver

8 x + 4 = 36 0^{\circ} - arcsec (\frac{1}{cos ( 7 6 ^{\circ} )}) + 36 0^{\circ} n : x = - \frac{1}{2} + 4 5^{\circ} + \frac{18 0 ^{\circ} n}{4} - \frac{arcsec ( \frac{1}{c o s ( 7 6 ^{\circ} )} )}{8}

x = - \frac{1}{2} + \frac{18 0 ^{\circ} n}{4} + \frac{arcsec ( \frac{1}{c o s ( 7 6 ^{\circ} )} )}{8}, x = - \frac{1}{2} + 4 5^{\circ} + \frac{18 0 ^{\circ} n}{4} - \frac{arcsec ( \frac{1}{c o s ( 7 6 ^{\circ} )} )}{8}

Mostrar soluciones en forma decimal

x = - \frac{1}{2} + \frac{18 0 ^{\circ} n}{4} + \frac{1.32645 \dots}{8}, x = - \frac{1}{2} + 4 5^{\circ} + \frac{18 0 ^{\circ} n}{4} - \frac{1.32645 \dots}{8}

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