If θ = 9°, then what is the value of cot θ cot 2θ cot 3θ cot 4θ cot 5θ cot 6θ cot 7θ cot 8θ cot 9θ?
A.√3 – 1
B.√3
C.1/√3
D.1✓ Correct
Explanation
When θ=9°, the product pairs like cot9°·cot81°=1, cot18°·cot72°=1, etc., since cot(x)·cot(90°–x)=1. The middle term cot45°=1, so the entire product equals 1.
💡 Practice unlimited SSC CHSL PYQs + AI-tracked progress on each topic. Sign up free →