33generally such non conventional trig eqns involving sin cos are case of extreme values.....
If 3 sinx +4 cos ax = 7 has atleast one solution, then 'a' has to be necessarily a : -
1. odd integer
2. even integer
3. rational number
4. irrational number
-
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8 Answers
33Its an example of an extreme case.....
This eqn is satisfied when both will be 1...
so cosax=1 and sinx=1 both together....
ax=2npi
also x=pi/2+2mpi
2(n/a)pi=pi/2+2mpi
a=4n/(4m+1)
so..........its a rational no...
33
1but as it is a multiple of 4 can't we say that a is always even?????
33Wait....its 4*(n/4m+1)
(n/4m+1) is not always integer....
4*(2/5) is even???
