find
tan3A-tan2A-tanA
find
tan3A-tan2A-tanA
HARESHWAR PRASAD SINHA , 16 Years ago
Grade 12
Trigonometry> trigonometry ratios and identities...
1 Answersaskiitianexpert arulmani
tan 3A - tan 2A - tan A
tan 3A = tan (A + 2A) = (tan A + tan 2A) / (1 - tan A tan 2A)
tan 3A = (tan A + tan 2A) / (1 - tan A tan 2A)
Bring denominator of Right hand side (2) to the left
=> tan 3A * (1 - tan A tan 2A) = (tan A + tan 2A)
=> tan 3A - tan A tan 2A tan 3A = tan A + tan 2A
=> tan 3A - tan 2A - tan A = tan A tan 2A tan 3A
Solution is : tan 3A - tan 2A - tan A = tan A tan 2A tan 3A
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