What is the general solution for 2sec(x)tan(x)=0 ?

The general solution for 2sec(x)tan(x)=0 is x=pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sec(x)tan(x)=0

2 sec (x) tan (x) = 0

x = πn

Degrees

x = 0^{\circ} + 18 0^{\circ} n

Solution steps

2 sec (x) tan (x) = 0

Solving each part separately

sec (x) = 0 or tan (x) = 0

sec (x) = 0 :

No Solution

sec (x) = 0

sec (x) \leq - 1 or sec (x) \geq 1

No Solution

tan (x) = 0 : x = πn

tan (x) = 0

General solutions for

tan (x) = 0

tan (x)

periodicity table with

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = 0 + πn

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = 0 + πn

0 + πn = πn

x = πn

x = πn

Combine all the solutions

x = πn

tan^{2} (θ) - 3 tan (θ) - 4 = 0

3.25 = (9.8) sin (θ)

sin (θ) = - 3

sin (3 x - \frac{π}{3}) = \frac{1}{2}

- cos (θ) + cos (2 θ) = 0

What is the general solution for 2sec(x)tan(x)=0 ?
The general solution for 2sec(x)tan(x)=0 is x=pin