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SSC CHSL 2020 PYQ — Question 75

SSC CHSL - 12th October 2020 - Shift 2 • Quantitative Aptitude • Q75

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If 3 sec2 x – 4 = 0, then the value of x (0 < x < 90o)

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Correct answer: C

Explanation

The correct answer is option 3 i.e 30o

Understanding/Application

3 sec2 x – 4 = 0

Add 4 in both sides.

3 sec2 x – 4 + 4 = 4

3 sec2 x = 4

Divide both sides by 3.

3 sec2 x/3= 4/3 

sec2 x = 4/3

sec x==23= { 2 \over \sqrt3}

So value of x is 30o because value of sec x is equal to 23{ 2 \over \sqrt3} at 30o