Tactics of shogi are called "tesuji(手筋)" in Japanese. Improve your shogi by learning tesuji.
This post describes basic tactics; forks. A fork is a move that uses one piece to attack two or more of the opponent's pieces simultaneously.
Fork by Knight; Fundoshi no Kei
As shown in the lower figure, a fork by a knight is one of the most famous tactics in shogi. These tactics are also called "fundoshi no kei(ふんどしの桂)." It means "knight like pants."
If your opponent has a knight in hand you have to be careful with a fork.
Fork by Bishop
Fork by a bishop is also popular tactics as shown in the lower figure.
A double attack to a king and a rook like the upper figure is called "outebisha(王手飛車)." If you could do "outebisha" you probably will be able to win the game.
Fork by Rook
The lower figure shows a fork by rook, and it's also called "jujibisha (十字飛車)." Jujibisha means "rook of a cross symbol."
Fork by Lance
The lower figure shows a fork by a lance. These fork tactics are called "dengakuzashi (田楽刺し)" in Japanese.
These tactics are like a pin in chess. In shogi, however, a pin and a fork are generally classified as the same tactics.
Fork by Silver
The lower figure shows a fork by a silver. These fork tactics are called "wariuchi no gin (割打ちの銀)" in Japanese.
This tactics basically attack pieces which cannot move diagonally backward like a gold general or a rook.
Fork between a Rook and a Bishop
You can attack the opponent's rook and bishop simultaneously by gold or silver as shown in the lower figure.
If the opponent's rook and bishop are next to each other, you may have a chance of fork tactics.