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SSC CHSL 2019 PYQ — Question 61

SSC CHSL - 10th July 2019 - Shift 2 • Quantitative Aptitude • Q61

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What is the simplified value of Sin271° + cos371°/sin 19°+ sin260° + sin71° - 1/cosec 71°+ sin445°?

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Correct answer: C

Explanation

Correct Answer is option 3 i.e. 2

Concept

Application

Sin(90 – x) = Cos x

1/Cosec x = Sin x

 

Sin271° + cos371°/sin 19°+ sin260° + sin71° - 1/cosec 71°+ sin445°

⇒ Sin271°+ cos371°/cos 71°+ sin260° + sin71° - sin 71°+ sin445°

⇒ Sin271° + cos271°+ sin260° + sin445°

⇒ 1 + 3/4 + 1/4

⇒ 8/4 = 2