SSC CHSL 2020 PYQ — Question 56

SSC CHSL - 19th October 2020 - Shift 3 • Quantitative Aptitude • Q56

The value of (Cos29oCosec61otan45o + 2Sin35oSec55o)/(3 Sin242o + 3 Sin248o) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 1.

Understanding/Application

(Cos290Cosec610tan450 + 2Sin350Sec550)/(3 Sin2420 + 3 Sin2480)

= [cos29 (1/sin61)1 + 2sin35(1/cos55)]/(3sin242 + 3(sin(90 - 42)2]

= [cos29(1/sin(90 -29)) + 2sin35 (1/cos(90 - 35))]/(3sin242 + 3cos242)

= [cos29(1/cos29) + 2sin35(1/sin35)]/3 

= (1 + 2)/3

= 3/3 

= 1