sin (5x - 25°) = cos(5y + 25°) எனில், 5x - 25° மற்றும் 5y + 25° ஆகியவை குறுங்கோணங்களாக இருந்தால், (x + y) இன் மதிப்பு என்ன?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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  1. 50°
  2. 40°
  3. 18°
  4. 16°

Answer (Detailed Solution Below)

Option 3 : 18°
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கொடுக்கப்பட்டது:

  sin (5x - 25°) = cos(5y + 25°), இதில் 5x - 25° மற்றும் 5y + 25° ஆகியவை குறுங்கோணங்கள்,

பயன்படுத்தப்பட்ட கருத்து:

Sinθ = cos (90°- θ)

கணக்கீடு:

கேள்வியின் படி,

 sin (5x - 25°) = cos(5y + 25°)

⇒ sin (5x - 25°) = sin 90 - (5y + 25°)

⇒ (5x - 25°) = 90° - (5y + 25°) 

⇒ 5x + 5y =  90

⇒ x + y =  90/5

⇒ x + y =  = 18° 

∴ சரியான விருப்பம் 3

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