If 8 cot A = 7, find sin A.

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. \(\frac{7}{15}\)
  2. \(\frac{8}{\sqrt{113}}\)
  3. \(\frac{7}{8}\)
  4. \(\frac{8}{7}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{8}{\sqrt{113}}\)
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Detailed Solution

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Calculation:

8 cot A = 7

CotA = 7/8

Cot A = B/P = 7/8

Base = 7 and Perpendicular = 8

Sin A = P/H 

H = √(72 + 82)

Sin A = 8 /√(72 + 82)

⇒ 8/√113

∴ The correct option is 2

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