pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8/17 =sin(2x)

Solução

\frac{8}{17} = sin (2 x)

Solução

x = \frac{0.48995 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.48995 \dots}{2} + πn

+1

Graus

x = 14.03624 \dots^{\circ} + 18 0^{\circ} n, x = 75.96375 \dots^{\circ} + 18 0^{\circ} n

Passos da solução

\frac{8}{17} = sin (2 x)

Trocar lados

sin (2 x) = \frac{8}{17}

Aplique as propriedades trigonométricas inversas

sin (2 x) = \frac{8}{17}

Soluções gerais para

sin (2 x) = \frac{8}{17}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

2 x = arcsin (\frac{8}{17}) + 2 πn, 2 x = π - arcsin (\frac{8}{17}) + 2 πn

2 x = arcsin (\frac{8}{17}) + 2 πn, 2 x = π - arcsin (\frac{8}{17}) + 2 πn

Resolver

2 x = arcsin (\frac{8}{17}) + 2 πn : x = \frac{arcsin ( \frac{8}{17} )}{2} + πn

2 x = arcsin (\frac{8}{17}) + 2 πn

Dividir ambos os lados por

2

2 x = arcsin (\frac{8}{17}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{arcsin ( \frac{8}{17} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{arcsin ( \frac{8}{17} )}{2} + πn

x = \frac{arcsin ( \frac{8}{17} )}{2} + πn

Resolver

2 x = π - arcsin (\frac{8}{17}) + 2 πn : x = \frac{π}{2} - \frac{arcsin ( \frac{8}{17} )}{2} + πn

2 x = π - arcsin (\frac{8}{17}) + 2 πn

Dividir ambos os lados por

2

2 x = π - arcsin (\frac{8}{17}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{π}{2} - \frac{arcsin ( \frac{8}{17} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{π}{2} - \frac{arcsin ( \frac{8}{17} )}{2} + πn

x = \frac{π}{2} - \frac{arcsin ( \frac{8}{17} )}{2} + πn

x = \frac{arcsin ( \frac{8}{17} )}{2} + πn, x = \frac{π}{2} - \frac{arcsin ( \frac{8}{17} )}{2} + πn

Mostrar soluções na forma decimal

x = \frac{0.48995 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.48995 \dots}{2} + πn

Exemplos populares

sec(2x)+tan(2x)=2

sec (2 x) + tan (2 x) = 2

sec(2x)+tan(2x)=9

sec (2 x) + tan (2 x) = 9

2+3cos^2(x)=sin^2(x)+4cos(x)

2 + 3 cos^{2} (x) = sin^{2} (x) + 4 cos (x)

sin(x)-sqrt(3cos(x))=0

sin (x) - 3 cos (x) = 0

tan(4x)-tan(2x)=0

tan (4 x) - tan (2 x) = 0