Question
(tan 5x - tan 3x - tan 2x) = ?
Solution
tan (3x + 2x) = tan 5x ⇒ (tan3x + tan2x)/(1 - tan3x.tan2x) = tan 5x ⇒ (tan3x + tan2x) = tan 5x - tan3x..tan2x .tan 5x Above Question can also be written as ⇒ (tan 5x - (tan 3x + tan 2x) ⇒ (tan 5x - (tan 5x - tan3x..tan2x .tan 5x) ⇒ tan 5x - tan 5x + tan3x..tan2x .tan 5x tan3x..tan2x .tan 5x tan 2x tan 3x tan 5x
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