What is the general solution for solvefor x,tan^2(x)=sec(x)-1 ?

The general solution for solvefor x,tan^2(x)=sec(x)-1 is x=2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,tan^2(x)=sec(x)-1

solve for

x, tan^{2} (x) = sec (x) - 1

x = 2 πn

Solution steps

tan^{2} (x) = sec (x) - 1

Subtract

sec (x) - 1

from both sides

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

Rewrite using trig identities

- sec (x) + sec^{2} (x) = 0

Solve by substitution

sec (x) = 1, sec (x) = 0

sec (x) = 1 : x = 2 πn

sec (x) = 0 :

No Solution

Combine all the solutions

x = 2 πn

csc^{2} (\frac{t}{2}) = 2

sin (2 x) = - \frac{1}{3}

- cos (3 x) = - cos (x)

2 sin (θ) cos (θ) - 2 cos (θ) = 0

4 sinh^{2} (x) = 0

What is the general solution for solvefor x,tan^2(x)=sec(x)-1 ?
The general solution for solvefor x,tan^2(x)=sec(x)-1 is x=2pin