(cos60^(@)+1)/(cos60^(@)-1)

Value of the expression : (1+2sin60^(@)cos60^(@))/(sin60^(@)+cos60^(@))+(1-2sin60^(@)cos60^(@))/(sin60^(@)-cos60^(@)) is

Show that : (i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1) (ii) (cos30^(@)+sin60^(@))/(1+sin30^(@)+cos60^(@))=cos30^(@)

Show that : (1-sin60^(@))/(cos60^(@))=2-sqrt3 .

Prove (1-sin60^(@))/(cos60^(@))=(1-tan30^(@))/(1+tan30^(@))

((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos30^(@))

Prove that : ((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos30^(@))

Prove that sqrt((1+cos30^(@))/(1-cos30^(@)))=sec 60^(@)+tan60^(@) .

Prove that: cos A cos(60^(@)-A)cos(60^(@)+A)=(1)/(4)cos3A

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

Prove that: (i) cos A cos(60^(@)-A)cos (60^(@)+A)=(1)/(4)cos 3A (ii) "tan" A+"tan"(60^(@)+A)-"tan"(60^(@)-A)=3 tan 3A .