f(x)=elog(sin x)+tan3x−cosec(3x−5)
f(x)=elog(sin x)+tan3(x)−cosec(3x−5)
→ If log(sin x)islog10(sin x)thenelog10(sin x) will be non periodic.
f(x)→ non-periodic
→ If log(sin x)isln(sin x), then eln(sin x)=sin x
=f(x)=sin x+tan3x−cosec(3x−5)
↓ ↓ ↓
Period =2π Period =3π Period =2π3
2π3π=23→ Rational
2π2π3=3→ Rational
∴ Period = LCM (2π,3π,2π3)
∴ Period =6π