prove that
tan 80º = tan 10° + 2 tan 70°
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Answer:
80=10+70
Taking tangent of both sides,
tan80=tan(10+70)
⇒tan80 =
1−tan10.tan70
tan10+tan70
⇒tan80−tan80.tan10.tan70=tan10+tan70 (Since, tan80.tan10 = cot10.tan10 = 1)
⇒tan80−tan70=tan10+tan70
⇒tan80=tan10+2tan70
Hence Proved.
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