SSC CPO 2023 PYQ — Question 106

SSC CPO - 05 Oct 2023 - Shift 3 • Quantitative Aptitude • Q106

The value of 2tan2 45° + cos2 30° - sin2 60° is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 2.

We know that,

⇒ tan 45° = 1

⇒ cos 30° = √3/2

⇒ sin 60° = √3/2

Putting values in the given question

⇒ 2tan2 45° + cos2 30° - sin2 60°

⇒ 2 × 1 + (√3/2)2 - (√3/2)2 = 2