यदि sin A = \(\frac{3}{4}\) हो, तो cos A का मान ज्ञात कीजिए।

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. \(\frac{4}{3}\)
  2. \(\frac{\sqrt{7}}{4}\)
  3. \(\frac{4}{\sqrt{7}}\)
  4. \(\frac{3}{\sqrt{7}}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{\sqrt{7}}{4}\)
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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गणना:

sin A = लंब/कर्ण = 3/4 

पाइथागोरस प्रमेय से 

(कर्ण)2 = (लंब)2 + (आधार)2 

= 42 = 32 + आधार2

16 - 9 = आधार2

आधार = √7

CosA = आधार/कर्ण = √7/4

अतः, सही उत्तर विकल्प 2 है।

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