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Popular >

sec(θ)+sqrt(2)=2sqrt(2)

Solución

sec (θ) + 2 = 22

Solución

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

+1

Grados

θ = 4 5^{\circ} + 36 0^{\circ} n, θ = 31 5^{\circ} + 36 0^{\circ} n

Pasos de solución

sec (θ) + 2 = 22

Mover

2

al lado derecho

sec (θ) + 2 = 22

Restar

2

de ambos lados

sec (θ) + 2 - 2 = 22 - 2

Simplificar

sec (θ) + 2 - 2 = 22 - 2

Simplificar

sec (θ) + 2 - 2 : sec (θ)

sec (θ) + 2 - 2

Sumar elementos similares:

2 - 2 = 0

= sec (θ)

Simplificar

22 - 2 : 2

22 - 2

Sumar elementos similares:

22 - 2 = 2

= 2

sec (θ) = 2

sec (θ) = 2

sec (θ) = 2

Soluciones generales para

sec (θ) = 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}

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

Ejemplos populares

tan(x)sin(x)+sin(-x)=0

tan (x) sin (x) + sin (- x) = 0

-sin(A)-1=3sin(A)+2

- sin (A) - 1 = 3 sin (A) + 2

2+cos(2x)=3cos(x)

2 + cos (2 x) = 3 cos (x)

3 cot (θ) + 4 = 0

2 sin (3 θ) = 0