\(\rm sinA=-\frac{3}{5}\) , A ஆனது III வது கால்பங்கில் இருந்தால், sec A இன் மதிப்பு:

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. \(-\frac{4}{5}\)
  2. \(-\frac{5}{4}\)
  3. \(-\frac{3}{4}\)
  4. \(\frac{3}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(-\frac{5}{4}\)
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Detailed Solution

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கொடுக்கப்பட்டது:

Sin A = (- 3/5)

A என்பது 3வது கால்பங்கில்ல் உள்ளது.

பயன்படுத்தப்படும் வாய்பாடு:

Sin θ = P/H

Sec θ = H/B

எங்கே, H = கர்ணம்; P = செங்குத்தாக; B = அடித்தளம்

கணக்கீடு:

Sin A = - (3/5) = P/H

பித்தகோரியன் தேற்றத்தால்:

⇒ H2 = P2 + B2

⇒ 52 = 32 + B2

⇒ B2 = 25 - 9 

⇒ B = √16 = 4

இப்போது, sec A = - (H/B) = - (5/4)

∴ சரியான பதில் - (5/4).

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