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Popular >

2(cos(t))2-cos(t)-1=0

Solución

2 (cos (t)) 2 - cos (t) - 1 = 0

Solución

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

+1

Grados

t = 70.52877 \dots^{\circ} + 36 0^{\circ} n, t = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

2 (cos (t)) \cdot 2 - cos (t) - 1 = 0

Simplificar

2 cos (t) \cdot 2 - cos (t) - 1 : 3 cos (t) - 1

2 cos (t) \cdot 2 - cos (t) - 1

Multiplicar los numeros:

2 \cdot 2 = 4

= 4 cos (t) - cos (t) - 1

Sumar elementos similares:

4 cos (t) - cos (t) = 3 cos (t)

= 3 cos (t) - 1

3 cos (t) - 1 = 0

Mover

1

al lado derecho

3 cos (t) - 1 = 0

Sumar

1

a ambos lados

3 cos (t) - 1 + 1 = 0 + 1

Simplificar

3 cos (t) = 1

3 cos (t) = 1

Dividir ambos lados entre

3

3 cos (t) = 1

Dividir ambos lados entre

3

\frac{3 cos ( t )}{3} = \frac{1}{3}

Simplificar

cos (t) = \frac{1}{3}

cos (t) = \frac{1}{3}

Aplicar propiedades trigonométricas inversas

cos (t) = \frac{1}{3}

Soluciones generales para

cos (t) = \frac{1}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

t = arccos (\frac{1}{3}) + 2 πn, t = 2 π - arccos (\frac{1}{3}) + 2 πn

t = arccos (\frac{1}{3}) + 2 πn, t = 2 π - arccos (\frac{1}{3}) + 2 πn

Mostrar soluciones en forma decimal

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

Ejemplos populares

solvefor x,y^{(iv)}-16y=-8cosh(2x)resolver para

x, y^{(i v)} - 16 y = - 8 cosh (2 x)

cos(c)=cos(7)cos(60)

cos (c) = cos (7) cos (6 0^{\circ})

cos(xpi)=(-1)^n

cos (x π) = (- 1)^{n}

3 csc (θ) = 4.5

cos^3(x)= 1/(4(3cos(x)+cos(3x)))

cos^{3} (x) = \frac{1}{4 ( 3 cos ( x ) + cos ( 3 x ) )}