सिद्ध कीजिय की `tan 15^@ = 2 -sqrt3`

tan15^(@)=2-sqrt(3)

Show that tan 15^@ = 2 - sqrt3

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

If tan 15^(@) = 2 - sqrt(3) , then show that 2 tan 1095^(@) + cot 975^(@) + tan (-195^@) = 4 - 2sqrt(3) .

Prove that (i) "cos " 15^(@) - " sin " 15^(@) = (1)/(sqrt(2)) (ii) " cot " 105^(@) - " tan " 105^(@) =2sqrt(3) (iii) (tan 69^(@) + tan 66^(@))/(1-tan 69^(@) tan 66^(@)) =-1

Suppose that neither A-15^(@) nor A-75^(@) is an integral multiple of 180^(@) . Then prove that cot(15^(@)-A)+tan(15^(@)+A)=(4cos2A)/(1-2sin2A) and deduce that tan 15^@)=2-sqrt(3) .

If tan 15^@=2-sqrt3 , then the value of tan15^@ cot 75^@+tan75^@ cot 15^@ is

Given tan 2A = (2 tan A)/(1-tan^2A) . If tan 30^@= 1/sqrt3 , verify that tan 60^@ = sqrt3 .

Show that tan 15^@+ tan 75^@ = (sec^2 15^@)/sqrt(sec^2 15^@-1)