\(\rm \frac{\cos 13^{\circ}+\sin 13^{\circ}}{\cos 13^{\circ}-\sin 13^{\circ}}\) সরলীকরণ করুন।

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 1)
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  1. cot 58°
  2. cos 26°
  3. tan 32°
  4. tan 58°

Answer (Detailed Solution Below)

Option 4 : tan 58°
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Detailed Solution

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প্রদত্ত :-

\(\rm \frac{\cos 13^{∘}+\sin 13^{∘}}{\cos 13^{∘}-\sin 13^{∘}}\)

ব্যবহৃত সূত্র :-

tanθ = \(\frac{sin\theta}{cos\theta}\)

গণনা :-

\(\rm \frac{\cos 13^{∘}+\sin 13^{∘}}{\cos 13^{∘}-\sin 13^{∘}}\)

cos13° দ্বারা লব ও হর ভাগ করলে পাই

এখন,

\(\frac{1 +\frac{sin13°}{cos13°}}{1 - \frac{sin13°}{cos13°}}\)

\(\frac{tan\frac{\pi}{4} + tan13°}{1 - tan\frac{\pi}{4} \times tan13°}\)

\(tan(45°+ 13°)\)

tan58°

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