What is the general solution for 3sec(x)=6 ?

The general solution for 3sec(x)=6 is x= pi/3+2pin,x=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sec(x)=6

3 sec (x) = 6

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

Degrees

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

Solution steps

3 sec (x) = 6

Divide both sides by

3

3 sec (x) = 6

Divide both sides by

3

\frac{3 sec ( x )}{3} = \frac{6}{3}

Simplify

sec (x) = 2

sec (x) = 2

General solutions for

sec (x) = 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}

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

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

6 = 6 sin (2 π (47) t), 0 < t < 0.0212

c = \frac{1}{sec ( x ) + tan ( x )} + \frac{1}{sec ( x ) - tan ( x )}

0.25 \cdot cos (x) = - 0.249

cos (x) sin (x) cos (x) = 1 - sin^{2} (x)

sin (θ) = 1 - (1 - (cos (θ) - 1)^{2})

What is the general solution for 3sec(x)=6 ?
The general solution for 3sec(x)=6 is x= pi/3+2pin,x=(5pi)/3+2pin