\(\rm \frac{sin\space23°}{cos\space67°}+\frac{cos\space71°}{sin\space19°}\) இன் மதிப்பு?

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Answer (Detailed Solution Below)

Option 3 : 2
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கொடுக்கப்பட்டது:

\(\rm \frac{sin\space23°}{cos\space67°}+\frac{cos\space71°}{sin\space19°}\)

பயன்படுத்தப்படும் சூத்திரம்:

sin (90°- x) = cos x 

cos (90°- x) = sin x 

கணக்கீடு:

\(\rm \frac{sin\space23°}{cos\space67°}+\frac{cos\space71°}{sin\space19°}\)

⇒ sin(90° - 67°)/cos 67° + cos (90° - 19°)/sin 19°

⇒ cos 67°/ cos 67° + sin 19°/sin 19°

⇒ 1 + 1 = 2

∴ தேவையான முடிவு = 2

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