Question
Download Solution PDFसरलीकृत कीजिए: \(\rm \frac{\cos 13^{\circ}+\sin 13^{\circ}}{\cos 13^{\circ}-\sin 13^{\circ}}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है :-
\(\rm \frac{\cos 13^{∘}+\sin 13^{∘}}{\cos 13^{∘}-\sin 13^{∘}}\)
प्रयुक्त सूत्र :-
tanθ = \(\frac{sin\theta}{cos\theta}\)
गणना :-
\(\rm \frac{\cos 13^{∘}+\sin 13^{∘}}{\cos 13^{∘}-\sin 13^{∘}}\)
अंश और हर को cos13° से विभाजित करने पर,
अब,
⇒ \(\frac{1 +\frac{sin13°}{cos13°}}{1 - \frac{sin13°}{cos13°}}\)
⇒ \(\frac{tan\frac{\pi}{4} + tan13°}{1 - tan\frac{\pi}{4} \times tan13°}\)
⇒ \(tan(45°+ 13°)\)
⇒ tan58°
Last updated on Jun 17, 2025
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