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SSC CHSL 2024 PYQ — Question 51

SSC CHSL - 04 July 2024 - Shift 1 • Quantitative Aptitude • Q51

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What is the value of tan 570°?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 13\frac{1}{\sqrt{3}}.

tan(x + 360°) = tanx

570° = 210° + 360°

tan 570° = tan 210°

Now, tan 210° = tan(180° + 30°)

tan 210° = tan 30°

tan 210° is in third quadrant, then tan 210 is positive.

tan 210° = tan 30° = 13\frac{1}{\sqrt{3}}