Question
Download Solution PDF2 tan A = 3 tan B = 1 হলে tan (A - B)-এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত ধারণা:
\(\tan \left( A-B \right)=\frac{\tan A-\tan B}{1+\tan A\times \tan B}\)
গণনা:
প্রদত্ত: 2 tan A = 3 tan B = 1
⇒ tan A = 1 / 2 ও tan B = 1 / 3
যেহেতু আমরা জানি, \(\tan \left( A-B \right)=\frac{\tan A-\tan B}{1+\tan A\times \tan B}\)
\(\Rightarrow \tan \left( A-B \right)=\frac{\tan A-\tan B}{1+\tan A\times \tan B}=\frac{\frac{1}{2}-\frac{1}{3}}{1+\frac{1}{2}\times \frac{1}{3}}=~\frac{1}{7}\)
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