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Popular >

3/2 sec(x)=3

Solución

\frac{3}{2} sec (x) = 3

Solución

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

+1

Grados

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Pasos de solución

\frac{3}{2} sec (x) = 3

Multiplicar ambos lados por

2

\frac{3}{2} sec (x) = 3

Multiplicar ambos lados por

2

2 \cdot \frac{3}{2} sec (x) = 3 \cdot 2

Simplificar

3 sec (x) = 6

3 sec (x) = 6

Dividir ambos lados entre

3

3 sec (x) = 6

Dividir ambos lados entre

3

\frac{3 sec ( x )}{3} = \frac{6}{3}

Simplificar

sec (x) = 2

sec (x) = 2

Soluciones generales para

sec (x) = 2

sec (x)

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Ejemplos populares

9(cos(a))^2-9(sin(a))^2=0

9 (cos (a))^{2} - 9 (sin (a))^{2} = 0

1-2cos^2(x)=0,0<= x<= 2pi

1 - 2 cos^{2} (x) = 0, 0 \leq x \leq 2 π

sqrt(2)sin(x-20)+1=0

2 sin (x - 2 0^{\circ}) + 1 = 0

9.2 cos (x) = 6.3

sec(x)+3tan(x)=1+2tan(x)

sec (x) + 3 tan (x) = 1 + 2 tan (x)