Find the value of tan35ºcot40ºtan45ºcot50ºtan55º.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1.
Tan × Cot = 1
⇒ tan35ºcot40ºtan45ºcot50ºtan55º = tan35°cot40° tan45°tan(90 - 50)cot(90 - 35)
⇒ tan35°cot40° tan45°tan(40)cot(35)
⇒ 1.