Question

If A = 30°;
show that:
`(1 – cos 2"A")/(sin 2"A") = tan"A"`

Answer 1

Given that A = 30°

LHS = `(1 – cos2 "A")/(sin 2"A")`

= `(1 – cos 2 (30°))/(sin2 (30°))`

= `(1 – (1)/(2))/((sqrt3)/(2)`

= `(1)/(sqrt3)`

RHS = tan A

= tan 30°

= `(1)/(sqrt3)`

LHS = RHS