Show that:tan(3x) × tan(2x) × tan(x) = tan(3x) - tan(2x) - tan(x)

Question

Shiksha Nation · Accepted Answer

tan(3x) = tan(2x + x)tan(3x) = (tan(2x) + tan(x)) / (1 - tan(2x) × tan(x))tan(3x) - tan(3x) × tan(2x) × tan(x) = tan(2x) + tan(x)tan(3x) - tan(2x) - tan(x) = tan(3x) × tan(2x) × tan(x)tan(3x) × tan(2x) × tan(x) = tan(3x) - tan(2x) - tan(x)

Show that:
tan(3x) × tan(2x) × tan(x) = tan(3x) - tan(2x) - tan(x)

Verified Answer