Sir 4 month preparation enough to cover 11th syllabus of PCM
Enough to be thorough with the concepts? Sure.
But getting a spot in that coveted top 10 or top 50 list depends solely on how you study, clarity of concepts, and your dedication. It can be done in 4 months, but you'll have to stay focused, work hard, and study to achieve crystal clarity of concepts rather than just mugging.
JEE advance will have 2-3 questions on trigonometry. And it's an important topic because you'll find it's application everywhere.