Option 2 : 1

**Formula used**

tan(90 - θ ) = cotθ

tanθ × cotθ = 1

**Calculation **

tan32° . tan43° . tan47° . tan58° = tan32° . tan43° . tan(90 - 43)° . tan(90 - 32)°

⇒ tan32° . tan43° . cot43° . cot32°

⇒ tan32° . cot32° . tan43° . cot43°

⇒ 1 × 1 = 1

∴ tan32° . tan43° . tan47° . tan58° = 1

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