What is the general solution for tan^4(x)-2tan^2(x)-1=0 ?

The general solution for tan^4(x)-2tan^2(x)-1=0 is x=0.99893…+pin,x=-0.99893…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^4(x)-2tan^2(x)-1=0

tan^{4} (x) - 2 tan^{2} (x) - 1 = 0

x = 0.99893 \dots + πn, x = - 0.99893 \dots + πn

Solution steps

tan^{4} (x) - 2 tan^{2} (x) - 1 = 0

Solve by substitution

tan (x) = 1 + 2, tan (x) = - 1 + 2, tan (x) = i - 1 + 2, tan (x) = - i - 1 + 2

tan (x) = 1 + 2 : x = arctan (1 + 2) + πn

tan (x) = - 1 + 2 : x = arctan (- 1 + 2) + πn

tan (x) = i - 1 + 2 :

No Solution

tan (x) = - i - 1 + 2 :

No Solution

Combine all the solutions

x = arctan (1 + 2) + πn, x = arctan (- 1 + 2) + πn

Show solutions in decimal form

x = 0.99893 \dots + πn, x = - 0.99893 \dots + πn

- 0.002 = sin (2 π \cdot (3) - 500 π (0) + x)

3 tan (2 x - \frac{π}{2}) = 2 sin (\frac{π}{3})

2 tan (x) - 2 = 0, 0 \leq x \leq 2 π

tan (3 5^{\circ}) tan (5 6^{\circ} - x) = 1

42.25 = 0.1681 cos (b)

What is the general solution for tan^4(x)-2tan^2(x)-1=0 ?
The general solution for tan^4(x)-2tan^2(x)-1=0 is x=0.99893…+pin,x=-0.99893…+pin