Tarea
Resolver:
a) tan x + sen x = 0
b) tan x - sen 2x = 0
Hola!!!
a)
tan x + sen x = 0
Sabemos que: Tang x = Senx/Cosx
Senx/Cosx + Senx = 0
Sex/Cosx = -Senx
Senx = -Senx × Cosx
Senx/-Senx = Cosx
Cosx = -1 ⇒
x = Cos⁻¹ (-1)
b)
tan x - sen 2x = 0
Sabemos que: Sen2x = 2Senx × Cosx
Senx/Cosx - 2Senx × Cosx
Senx/Cosx = 2Senx × Cosx
Senx/2Senx = Cosx × Cosx
1/2 = Cos²x
Cosx = ±√1/2 ⇒
Cosx = +√1/2
Cosx = 1/√2 ⇒
x = Cos⁻¹ (1/√2)
Cosx = -√1/2
Cosx = -1/√2 ⇒
x = Cos⁻¹ (-1/√2)
Sabemos que: π = 180° ⇒
135° × π/180° = 3/4π
Saludos!!!
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Tarea
Resolver:
a) tan x + sen x = 0
b) tan x - sen 2x = 0
Hola!!!
a)
tan x + sen x = 0
Sabemos que: Tang x = Senx/Cosx
Senx/Cosx + Senx = 0
Sex/Cosx = -Senx
Senx = -Senx × Cosx
Senx/-Senx = Cosx
Cosx = -1 ⇒
x = Cos⁻¹ (-1)
x = 180° = π
b)
tan x - sen 2x = 0
Sabemos que: Sen2x = 2Senx × Cosx
Senx/Cosx - 2Senx × Cosx
Senx/Cosx = 2Senx × Cosx
Senx/2Senx = Cosx × Cosx
1/2 = Cos²x
Cosx = ±√1/2 ⇒
Cosx = +√1/2
Cosx = 1/√2 ⇒
x = Cos⁻¹ (1/√2)
x = 45° = π/4
Cosx = -√1/2
Cosx = -1/√2 ⇒
x = Cos⁻¹ (-1/√2)
Sabemos que: π = 180° ⇒
135° × π/180° = 3/4π
x = 135° = 3/4π
Saludos!!!