SSC CGL 2024 PYQ — Question 60

SSC CGL - 10 Sep 2024 - Shift 1 • Quantitative Aptitude • Q60

If 0° < t < 90°. Then, which of the following is true?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. sin(t) < cos (t) when t < 45°.

According to the given options,

I. When t = 45°, sin(t) = 121 \over \sqrt{2} = cos(t)

⇒ sin(t) = cos(t) 

So option 1 is incorrect.

II. When t < 45°, let the value of t be 30°.

sin(t) = 1/2 and cos(t) = 32\sqrt{3} \over 2

⇒ sin(t) < cos(t)

So option 2 is incorrect, but option 3 is correct.