Q17 of 90 Page 7

Prove that:

⇒ π/12 = 15° And π/6 = 30°


We have 15° + 30° = 45°


⇒ tan(15° + 30°) = tan 45°


We know that



⇒ tan15° + tan30° = 1 – tan15° tan30°


∴ tan15° + tan30° + tan15° tan30° = 1


Hence, proved.


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