Question

tan120°-cot120°=?
how to solve? ​

Answer 1

Step-by-step explanation:

• tan 120° = -√3
• cot 120° = - 1/√3

so tan 120° - cot 120°

= -√3 - (-1/√3)

= -√3 + 1√3

$- \sqrt{3} - \frac{ 1}{ \sqrt{} 3} \\ \\ = \geqslant \frac{ - \sqrt{3} \times \sqrt{3} - 1}{ \sqrt{ 3} } \\ \\ = \geqslant \frac{ - 3 - 1}{ \sqrt{3} } \\ \\ = \geqslant \frac{ - 4}{ \sqrt{3} }$