What is the general solution for sec(θ)(sec(θ)-1)=2 ?

The general solution for sec(θ)(sec(θ)-1)=2 is θ= pi/3+2pin,θ=(5pi)/3+2pin,θ=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(θ)(sec(θ)-1)=2

sec (θ) (sec (θ) - 1) = 2

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = π + 2 πn

Solution steps

sec (θ) (sec (θ) - 1) = 2

Solve by substitution

sec (θ) = 2, sec (θ) = - 1

sec (θ) = 2 : θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

sec (θ) = - 1 : θ = π + 2 πn

Combine all the solutions

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = π + 2 πn

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( x )}{4}

\frac{cos ( x )}{cot ( x )} = sec (x)

1500 = 250 \cdot 8 \cdot cos (θ)

- sin (2 x) = sin (4 x)

sin (x) = - 0.61

What is the general solution for sec(θ)(sec(θ)-1)=2 ?
The general solution for sec(θ)(sec(θ)-1)=2 is θ= pi/3+2pin,θ=(5pi)/3+2pin,θ=pi+2pin