If-m-n-N-n-gt-m-then-number-of-solutions-of-the-equation-n-sin-x-m-sin-x-in-0-2pi-is-

Question Number 17153 by Tinkutara last updated on 01/Jul/17

If m, n \in N (n > m), then number of

solutions of the equation

n ∣ \sin x ∣ = m ∣ \sin x ∣ in [0, 2 π] is

Answered by mrW1 last updated on 01/Jul/17

n ∣ \sin x ∣ = m ∣ \sin x ∣

∵ m \neq n

∴ ∣ \sin x ∣= 0

x = 0, π, 2 π

\Rightarrow there are 3 solutions

Commented by Tinkutara last updated on 02/Jul/17

Thanks Sir!