Question

Prove that:
(1+sin60⁰)/(1-sin60⁰)={(1+cot60⁰)/1-cot60⁰)}²​

Answer 1

Answer:

LHS = (1-sin60°)/cos60° = (1 - √3/2)/(1/2) = (2-√3)

RHS = (tan60° -1)/(tan60° +1)

=(√3 -1)/(√3 +1)

=(√3-1)(√3-1)/(√3 +1)(√3 -1)

=(√3² +1² -2√3)/(√3²-1)

=( 4-2- √3)/(2)

= 2-√3

LHS = RHS

hence proved

hope it helps

Answer 2

Answer:

see the attachment , friend.