Question

Show that tan 75º – tan 30° - tan 75º tan 30º = 1.
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Answer 1

Answer:

tan 45° = 1

Or, tan (75° - 30°) = 1

Or, (tan75° - tan30°) / (1 + tan75° tan30°) = 1

Or, tan75° - tan30° = 1 + tan75° tan 30°

Or, tan75° - tan30° - tan75° tan30° = 1