यदि tan A = \(\rm \frac {5}{12}\) है, तो cosA का मान = ___ ;

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. \(\rm \frac {12}{5}\)
  2. \(\rm \frac {13}{5}\)
  3. \(\rm \frac {5}{13}\)
  4. \(\rm \frac {12}{13}\)

Answer (Detailed Solution Below)

Option 4 : \(\rm \frac {12}{13}\)
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Detailed Solution

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दिया गया:

tan A = \(\rm \frac {5}{12}\)

गणना:

tan A = 5/12 

फिर, sec A

= √(1 + tan²A)

= √(1 + 25/144)

= √(169/144)

= 13/12

इसलिए, cos A = 12/13

इसलिए, अभीष्ट मान 12/13 है।

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