\(\rm \frac{\cos 17^\circ-\sin 17^\circ}{\cos 17^\circ+\sin 17^\circ}\) किसके बराबर है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. tan 34°
  2. cot 34°
  3. tan 62°
  4. cot 62°

Answer (Detailed Solution Below)

Option 4 : cot 62°
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व्याख्या:

\(\frac{cos17°- sin17°}{cos17°+ sin17°} = \frac{cos17°(1-\frac{sin 17°}{Cos17°})}{cos17°(1+\frac{sin 17°}{Cos17°})}\)

= \(\frac{1-\tan17°}{1+\tan17°}\)

= \(\frac{\tan45°-\tan17°}{1+\tan45°\tan17°}\) = tan(45° - 17°) = tan 28° = cot 62°

सही उत्तर विकल्प 4 है।

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