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

The general solution for 1=sec(θ) is θ=2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1=sec(θ)

1 = sec (θ)

θ = 2 πn

Degrees

θ = 0^{\circ} + 36 0^{\circ} n

Solution steps

1 = sec (θ)

Switch sides

sec (θ) = 1

General solutions for

sec (θ) = 1

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

θ = 0 + 2 πn

θ = 0 + 2 πn

Solve

θ = 0 + 2 πn : θ = 2 πn

θ = 0 + 2 πn

0 + 2 πn = 2 πn

θ = 2 πn

θ = 2 πn

tan (t) = - \frac{11}{5}, cos (t) > 0, sin (t)

tan (θ + 2 0^{\circ}) tan (9 0^{\circ} - 3 θ) = 1

2 csc (x) + \frac{7}{cos ( x )} = 0

csc (θ) = \frac{13}{6}

tan (B) = 8

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