Question

obtain the value cot 75°​

Answer 1

Answer:

2- √3

Step-by-step explanation:

cot 75° = cot ( 30°+45°)

= cot45° cot30° - 1 / cot30°+ cot45°

= 1 × √3 - 1 / √3 + 1

= √3 - 1 / √3 + 1 × √3 - 1 / √3 - 1

= 3 - 2√3 + 1 / 3 - 1

= 4 - 2√3 / 2

= 2 - √3