Question

If cosA =√3/2 find the value of tan (A/2)

Answer 1

Answer:

√3

cos A = √3/2 cos 60°= √3/2

let us solve,

A = 60°

tan 60°=√3

then,

2tanA/(1+tan A)(1-tan A)..

putting tan A value in ....[1]

we get,

..[1]

=2x√3/{1+√3}{1-√3}

= 2√3/1-√3+√3-3

= 2√3/2+0

= 2√3/2

= √3