SSC CGL 2021 PYQ — Question 64

SSC CGL - 20 Aug 2021 - Shift 1 • Quantitative Aptitude • Q64

Find the value of tan35ºcot40ºtan45ºcot50ºtan55º.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1.

Tanθ\theta × Cotθ\theta = 1

⇒ tan35ºcot40ºtan45ºcot50ºtan55º = tan35°cot40° tan45°tan(90 - 50)cot(90 - 35)

⇒ tan35°cot40° tan45°tan(40)cot(35)

⇒ 1.