If the Old Testament, even once, shows us that God told Satan to lie to a woman, would that be OK? If not, better read that book more closely. I'll bet that it shows that very clearly. Once, that should be OK, let's consider the original language, let's dance around, let's tell him that his doubts are from Satan, let's not try to find that passage.
God told Satan to lie. Is that OK there? It isn't OK here!
I've puzzled over what you might be referring to and came up empty-handed. I guess if you are serious, you need to be clearer about what you are referencing.
The Bible states that all liars will end up in hell. "But the cowardly, unbelieving, abominable, murderers, sexually immoral, sorcerers, idolaters, and all liars shall have their part in the lake which burns with fire and brimstone, which is the second death" (Revelation 21:8). It also states that God does not tempt anyone to sin. "Let no one say when he is tempted, "I am tempted by God"; for God cannot be tempted by evil, nor does He Himself tempt anyone" (James 1:13). Therefore, the simple conclusion is that God hasn't told anyone to lie.
God does take advantage of sinners to accomplish tasks. This is what He did with Ahab by allowing a lying spirit to tempt Ahab (I Kings 22). However, this does not mean that God approves of lying.