What is the general solution for 8tan(2x)-5=3 ?

The general solution for 8tan(2x)-5=3 is x= pi/8+(pin)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8tan(2x)-5=3

8 tan (2 x) - 5 = 3

x = \frac{π}{8} + \frac{πn}{2}

Solution steps

8 tan (2 x) - 5 = 3

Move

5

to the right side

8 tan (2 x) = 8

Divide both sides by

8

tan (2 x) = 1

General solutions for

tan (2 x) = 1

2 x = \frac{π}{4} + πn

Solve

2 x = \frac{π}{4} + πn : x = \frac{π}{8} + \frac{πn}{2}

x = \frac{π}{8} + \frac{πn}{2}

- 8 cos (x) = 3

tan (x) \cdot cos (x) + cos (x) = 0

2 sin (3 x) - 1 = 0

4 cos (x + \frac{π}{4}) = - 1

cos (x) = \frac{3}{25}

What is the general solution for 8tan(2x)-5=3 ?
The general solution for 8tan(2x)-5=3 is x= pi/8+(pin)/2