English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^2(45+(x/2))=4.137131

Solución

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Sin soluci \overset{o}{ˊ} n para x \in R

Pasos de solución

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Usando el método de sustitución

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Sea:

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = u

u^{2} = 4.137131

u^{2} = 4.137131 : u = 4.137131, u = - 4.137131

u^{2} = 4.137131

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

u = 4.137131, u = - 4.137131

Sustituir en la ecuación

u = tan (4 5^{\circ} + (\frac{x}{2})^{\circ})

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131, tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131, tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131 :

Sin solución

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Aplicar propiedades trigonométricas inversas

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

Soluciones generales para

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (4.137131) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (4.137131) + 18 0^{\circ} n

Sin soluci \overset{o}{ˊ} n

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131 :

Sin solución

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

Aplicar propiedades trigonométricas inversas

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

Soluciones generales para

tan (4 5^{\circ} + (\frac{x}{2})^{\circ}) = - 4.137131

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (- 4.137131) + 18 0^{\circ} n

4 5^{\circ} + (\frac{x}{2})^{\circ} = arctan (- 4.137131) + 18 0^{\circ} n

Sin soluci \overset{o}{ˊ} n

Combinar toda las soluciones

Sin soluci \overset{o}{ˊ} n para x \in R

2 cos (x) = - 1, 0 \leq x < 2 π

cos (θ) = \frac{3}{11}

\frac{30}{sin ( 9 0 ^{\circ} )} = \frac{30}{sin ( x )}, x

\frac{sec ( x )}{cos ( x )} - 1 = 0

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