Question

if tan 15=2-√3, then the value of cot^2 75 is​

Answer 1

Answer:

7 - 4√3

Step-by-step explanation:

In general:

cot x = tan ( 90° - x )

So...

cot² 75°  =  ( cot 75° )²  =  ( tan (90° - 75°) )²

   = ( tan 15° )²

   = ( 2 - √3 )²

   = 4 + 3 - 4√3

   = 7 - 4√3