SSC CPO 2023 PYQ — Question 130

SSC CPO - 05 Oct 2023 - Shift 1 • Quantitative Aptitude • Q130

If cos  A  =12,  0≤A≤cos\;A\;={{1} \over 2},\;0 \leq A \leq90, then what is the value of sin (180 - A) ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 32\sqrt{3} \over 2.

Given that

If cos  A  =12,  0≤A≤cos\;A\;={{1} \over 2},\;0 \leq A \leq90º,

cos 60º = 121 \over 2

⇒ A = 60º

According to the question

sin (180º - 60º) = sin 120º = 32\sqrt{3} \over 2