`cot(A+15^.)-tan(A-15^.)-(4cos2A)/(1+2sin2A)`

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) .

Show that cot ( A + 15^(@)) - tan (A - 15^(@)) = (4 cos 2 A)/(1 + 2 sin 2 A ) .

cot(theta+15^(@))-tan(theta-15^(@))=(4cos2 theta)/(1+2sin2 theta) prove that

cot ((A)/(2))-tan((A)/(2))= A) 2 sin A B) 2 cos A C) 2 tan A D) 2 cot A

Prove that, cot ( theta + 15^(@))- tan(theta - 15^(@))=(4 cos 2 theta)/(1+2 sin 2 theta)

(cot^(2)15^(@)-1)/(cot^(2)15^(@)+1)=?

If A=sin15^(0)+cos15^(@),B=tan15^(@)+cot15^(@),C=tan22(1^(@))/(2)-cot22(1^(@))/(2) thenthe descending order is

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

Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)15^(@))