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What is the value of tan (1230°) 
1. \(\frac{1}{\sqrt 3}\)
2. √3 
3. -\(\frac{1}{\sqrt 3}\)
4. Not define

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Correct Answer - Option 3 : -\(\frac{1}{\sqrt 3}\)

Concept:

Some useful formulas are,

tan (360° ±  x) = tan x

tan (90°+ x) = - cot x

Calculation:

tan (1230°) can be written as,

tan (3 × 360° + 150°)

= tan (150°)            [∵ tan (360° ±  x) = tan x]

= tan ( 90° + 60°)

= - cot 60° 

= - \(\rm 1\over \sqrt3{}\)

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