SSC CGL 2022 PYQ — Question 56

SSC CGL - 19 April 2022 - Shift 2 • Quantitative Aptitude • Q56

If cos53° = x/y, then sec 53° + cot 37° is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.

cos 530 = x/y

sec 530 = y/x

tan(90 - 53) = cot 370 = 1/(tan 370) = √(y2 - x2)/x

Putting the value of sec 530 and cot 370 -

sec 530 + cot 370 = (y/x) + √(y2 - x2)/x = [y + √(y2 - x2)]/x