Question

√3cot20cot40cot80 find the vaue

Answer 1

Answer:

Your answer is 1.Hope it helps you.

Step-by-step explanation:

√3Cot20°Cot40°Cot80°

=>√3[Cot(90°-70°)Cot(90°-50°)Cot(90°-10°)]

=>√3(tan10°tan50°tan70°)

Since it is of the sequence tantheta×tan(60°-theta)×tan(60°+theta)

Then it's answer would be of the tan3theta.

=>√3×tan3×10°=√3×tan30°=√3×1/√3=1.