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Question

Choose the correct option. Justify your choice.
1+tan2A1+cot2A=

A
sec2A
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B
1
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C
cot2A
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D
tan2A
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Solution

The correct option is D tan2A
The value of 1+tan2A1+cot2A

=1+sin2Acos2A1+cos2Asin2A

=cos2A+sin2Asin2A+cos2A×sin2Acos2A

=tan2A

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