Simplify the following.
cot13°.cot27°.cot45°.cot63°.cot77° = ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1.
Concept used:
Cot 45 = 1
We know that, cotA.cotB = 1 when A + B = 90
Calculations:
⇒ cot13° cot27° cot45° cot63° cot77°
cot13.cot77 = 1 and cot 27.cot 63 = 1
⇒ cot13° cot27° cot45° cot63° cot77° = 1