Question
Download Solution PDFIf tan A - tan B - tan C = tan A tan B tan C, what is the value of A in terms of B and C?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
tan A - tan B - tan C = tan A tan B tan C
Formula Used:
tan (A - B) =
Calculations:
⇒ tan A - tan B - tan C = tan A tan B tan C
⇒ tan A - tan B = tan A tan B tan C + tan C
⇒ tan A - tan B = tan C(tan A tan B + 1)
⇒ tan C =
⇒ tanC = tan(A - B)
⇒ C = A - B
⇒ A = B + C
⇒ Hence, The option 1 is correct
Last updated on Jun 13, 2025
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