es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(θ/2)=csc^2(θ)-cot^2(θ)

Solución

tan (\frac{θ}{2}) = csc^{2} (θ) - cot^{2} (θ)

Solución

θ = \frac{π}{2} + 2 πn

+1

Pasos de solución

tan (\frac{θ}{2}) = csc^{2} (θ) - cot^{2} (θ)

Restar

csc^{2} (θ) - cot^{2} (θ)

de ambos lados

tan (\frac{θ}{2}) - csc^{2} (θ) + cot^{2} (θ) = 0

Re-escribir usando identidades trigonométricas

tan (\frac{θ}{2}) - 1 = 0

Mover

1

al lado derecho

tan (\frac{θ}{2}) = 1

Soluciones generales para

tan (\frac{θ}{2}) = 1

\frac{θ}{2} = \frac{π}{4} + πn

Resolver

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

θ = \frac{π}{2} + 2 πn

Ejemplos populares

6cos^2(x)-sin(x)-4=0

6 cos^{2} (x) - sin (x) - 4 = 0

cot^2(x)= 3/2 csc(x)

cot^{2} (x) = \frac{3}{2} csc (x)

2cos(θ)-1=0,0<= θ<= 2pi

2 cos (θ) - 1 = 0, 0 \leq θ \leq 2 π

3-3cos(x)=2sin^2(x)

3 - 3 cos (x) = 2 sin^{2} (x)

2+3sin(x)+sin^2(x)-cos^2(x)=0

2 + 3 sin (x) + sin^{2} (x) - cos^{2} (x) = 0