Evaluate sin54ᵒ over cos36ᵒ + sec46ᵒ over cosec44ᵒ

Evaluate $sin54^o \over cos36^o$ + $sec46^o \over cosec44^o$

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2

Given that

Evaluate $sin54^o \over cos36^o$ + $sec46^o \over cosec44^o$

= sin (90 - 36)/cos36] + [sec (90 - 44)/cosec44]

= [cos 36/cos 36] + [cosec 44/cosec 44]

= 1 + 1 = 2

SSC CPO 2022 PYQ — Question 127