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SSC CHSL 2024 PYQ — Question 51

SSC CHSL - 03 July 2024 - Shift 2 • Quantitative Aptitude • Q51

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Find the value of the following expression.

sin⁡(30+θ)−cos⁡(60−θ)\sin (30 + \theta) - \cos (60 - \theta)

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 0.

Given that, sin⁡(30+θ)−cos⁡(60−θ)\sin (30 + \theta) - \cos (60 - \theta)    ...(i)

It is clear that,  sin⁡(90−θ)=cos⁡θ\sin (90 - \theta) = \cos \theta

Putting this in equation (i),

⇒ sin⁡(90−(30+θ))−cos⁡(60−θ)\sin (90 - (30 + \theta)) - \cos (60 - \theta)

⇒ cos⁡(60−θ)−cos⁡(60−θ)\cos (60 - \theta) - \cos (60 - \theta) = 0

Hence the required answer is 0.