What is the general solution for sec(b)=2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(b)=2

sec (b) = 2

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

Degrees

b = 6 0^{\circ} + 36 0^{\circ} n, b = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

sec (b) = 2

General solutions for

sec (b) = 2

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}

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

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

2 sin^{2} (x) - 4 sin (x) = cos^{2} (x) - 2

cos (\frac{θ}{2}) = - \frac{2}{2}

16 sin^{2} (x) + 24 sin (x) + 8 = 0

1 - 3 tan^{2} (x) = 0

6 tan^{2} (θ) - 10 tan (θ) + 1 = - 5 tan (θ)

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