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Question

tan2030+tan220+tan2030tan220=

A
-1
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B
0
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C
1
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D
2
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Solution

The correct option is A -1
tan203o+tan22o+tan203otan22o
203+22=225
tan(203+22)=tan225=tan(180+45)
tan203+tan221tan203tan22=1
tan203+tan22=1tan203tan22
tan203+tan22+tan203tan22=1.

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