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If ma n dn(n > m) are positive integers,...

If `ma n dn(n > m)` are positive integers, then find the number of solutions of the equation `n|sinx|=m|cosx|forx in [0,2pi]dot` Also find the solution.

A

m

B

n

C

mn

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
The curves `y = n|"sin" x| " and " y = m|"cos" x|` intersects in 4 points in `[0, 2 pi]`. Hence, there are 4 solutions.
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