Question
Download Solution PDFयदि A, B और C एक त्रिभुज के कोण हैं, तो निम्नलिखित में से कौन सा सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
A, B और C एक त्रिभुज के कोण हैं।
अवधारणा:
सूत्र \(\rm tan(A+B)= \frac{tanA+tanB}{1-tanA\cdot tanB}\) का प्रयोग कीजिए।
गणना:
A, B और C एक त्रिभुज के कोण हैं,
तब A + B +C = π
⇒ A + B = π - C
tan(A + B) = tan(180 - C)
\(\rm \implies \frac{tanA+tanB}{1-tanA\cdot tanB}=-\frac{tanC}{1}\)
⇒ tanA + tanB = -tanC + tanA tanB tanC
⇒ tan A + tanB +tanC = tanA tanB tanC
अतः विकल्प (4) सही है।
Last updated on May 26, 2025
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