Question

Tan7°×tan33°×tan60°×tan57°×tan83°

Answer 1

⭐█Solution█⭐

tan7°×tan33°×tan60°×tan57°×tan83°

=> cot(90°- 7°)× cot(90° - 33°) × √3 × $\dfrac{1}{cot57°}$×$\dfrac{1}{cot83°}$

=> cot83°×cot57°×√3 × $\dfrac{1}{cot57°}$ × $\dfrac{1}{cot83°}$

=> 1 × 1 × √3 × $\dfrac{1}{1}$ × $\dfrac{1}{1}$

After solving this we get,

=> √3

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