What is the value of cot 35° cot 40° cot 45° cot 50° cot 55° ?
Answer & explanation
Correct answer: option 3
cot 35° cot 40° cot 45° cot 50° cot 55°
we know,
tanA = cotB iff A + B = 90°
and tanA c cotB = 1
Now,
cot 35° cot 40° cot 45° cot 50° cot 55°
= tan55° tan50° cot 45° cot 50° cot 55°
= tan55°× cot55° ×cot 45°× cot 50° tan50°
= 1 × 1 × 1
= 1