Prove that: tan 15° + tan 30° + tan 15° tan 30º = 1
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Answer:
30 + 15 = 45
tan ( 30+15) = tan (45)
tan (30+15) = 1
( tan 45 = 1)
tan ( a+b) = tan a + tan b/ 1- (tana. tan b)
tan 30 + tan15 / 1- tan30.tan15 = 1
tan 30 + tan 15 = 1- tan30. tan15
tan30 + tan15 + tan30.tan15 = 1
Hence proved
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