Question

If root 3 tan theta is equal to 3 sin theta then prove that sin squared theta minus cos squared theta is equal to 1 by 3

Answer 1

Answer is 1/3?
if it is correct then tell me i will justify my answer:)
√3 tanФ= 3sinФ
√3sinФ/cosФ=3 sinФ
√3×1/cosФ=3
√3=3 cosФ
cosФ=√3/3
cosФ=base/hypotenuese
then base =√3 units
perpendicular=3 units
then (height)² =(hypotenuese)²-(base)²
                     =(3)²-(√3)²
                      =9-3
              ∴height        =√6
sinФ=perpendicular/hypotenuese
       =√6/3
sin²Ф-cos²Ф
⇒(√6/3)²-(√3/3)²
⇒6/9-3/9
⇒3/9
=1/3

#Dramaqueen⭐