What is the general solution for tan(x)=-1/5 ?

The general solution for tan(x)=-1/5 is x=-0.19739…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x)=-1/5

tan (x) = - \frac{1}{5}

x = - 0.19739 \dots + πn

Solution steps

tan (x) = - \frac{1}{5}

Apply trig inverse properties

x = arctan (- \frac{1}{5}) + πn

Show solutions in decimal form

x = - 0.19739 \dots + πn

2 + 2 cos (x) = 0

2 sin (θ) sec (θ) = 4 sin (θ)

sec (x - \frac{π}{7}) cos (x - \frac{π}{7}) = sin (x - \frac{π}{7})

cos (x) = \frac{17}{28}

sec^{4} (x) - 4 sec^{2} (x) = 0

What is the general solution for tan(x)=-1/5 ?
The general solution for tan(x)=-1/5 is x=-0.19739…+pin