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Popular >

cos^2(φ)=sin^2(φ)

Solución

cos^{2} (φ) = sin^{2} (φ)

Solución

φ = \frac{π}{4} + πn, φ = \frac{3 π}{4} + πn

+1

Pasos de solución

cos^{2} (φ) = sin^{2} (φ)

Restar

sin^{2} (φ)

de ambos lados

cos^{2} (φ) - sin^{2} (φ) = 0

Re-escribir usando identidades trigonométricas

cos (2 φ) = 0

Soluciones generales para

cos (2 φ) = 0

2 φ = \frac{π}{2} + 2 πn, 2 φ = \frac{3 π}{2} + 2 πn

Resolver

2 φ = \frac{π}{2} + 2 πn : φ = \frac{π}{4} + πn

Resolver

2 φ = \frac{3 π}{2} + 2 πn : φ = \frac{3 π}{4} + πn

φ = \frac{π}{4} + πn, φ = \frac{3 π}{4} + πn

Ejemplos populares

sin^2(x)-2cos^2(x)=0

sin^{2} (x) - 2 cos^{2} (x) = 0

sin(x)= 1/(sqrt(10))

sin (x) = \frac{1}{10}

(sin(θ)-1)(sin(θ)+1)=0

(sin (θ) - 1) (sin (θ) + 1) = 0

5 sec (θ) - 6 = 0

sec(x)=-1,-2pi<= x<= 2pi

sec (x) = - 1, - 2 π \leq x \leq 2 π