SSC CGL 2024 PYQ — Question 66

SSC CGL - 23 Sep 2024 - Shift 2 • Quantitative Aptitude • Q66

If cosA + cos²A = 1 then sin²A + sin⁴A is equal to:

Show answer & explanation

Correct answer: D

Explanation

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

Given, cosA + cos²A = 1

⇒ cosA = 1 - cos²A

⇒ sin²A = cosA

⇒ sin⁴A = cos²A

According to the given question,

sin²A + sin⁴A

⇒ sin²A + cos²A

⇒ 1