Skip to content / Đến nội dung
ThichHocToan.com

IMO 1959–1966 - Longlisted Problems (individual years unknown) Question 9

IMO Shortlist · IMO 1959–1966 - Longlisted Problems (individual years unknown)

Question 9

(ROM) Find $x$ such that
$$\frac{\sin3x\cos(60^\circ-4x)+1}{\sin(60^\circ-7x)-\cos(30^\circ+x)+m}=0,$$
where $m$ is a fixed real number.