Question

Find the value of cot 15°

Answer 1

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Answer 2

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→ Answer : ( 2 + √3 )

→ Concept Used :
          $cot ( A - B ) = \frac{cotA \ cotB \ + \ 1}{cotB \ - \ cotA}$
       → cot 45° = 1 ; cot 30° = √3

→ Put : A = 45° ; B = 30°

=> cot 15° = cot( 45° - 30° ) = ( √3 + 1 ) / ( √3 - 1 )

► Rationalize the result to get :
 → cot 15° = ( 2 + √3 )