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

The general solution for sin(x)sec(x)=2tan(x)-1 is x= pi/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)sec(x)=2tan(x)-1

sin (x) sec (x) = 2 tan (x) - 1

x = \frac{π}{4} + πn

Solution steps

sin (x) sec (x) = 2 tan (x) - 1

Subtract

2 tan (x) - 1

from both sides

sin (x) sec (x) - 2 tan (x) + 1 = 0

Rewrite using trig identities

1 - tan (x) = 0

Move

1

to the right side

- tan (x) = - 1

Divide both sides by

- 1

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

sin (x) = sin (x + 3 0^{\circ})

cos^{2} (x) + \frac{7}{12} cos (x) + \frac{1}{12} = 0

sec^{22} (x) = 1 - tan^{2} (x)

2 sec (x) = 1 + cos (x)

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

What is the general solution for sin(x)sec(x)=2tan(x)-1 ?
The general solution for sin(x)sec(x)=2tan(x)-1 is x= pi/4+pin