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Question

Which of the following options are equal to tan2A+cot2A+2?


A

sec2A.cosec2A

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B

tan2A.cot2A

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C

sec2A+cosec2A

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D

= 1cos2A.sin2A

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Solution

The correct options are
A

sec2A.cosec2A


C

sec2A+cosec2A


D

= 1cos2A.sin2A


tan2A+cot2A+2

= 1+tan2A+1+cot2A

= sec2A+cosec2A......1+tan2A=sec2A and 1+cot2A=cosec2A

= 1cos2A+1sin2A

= sin2A+cos2Acos2A.sin2A....sin2A+cos2A=1

= 1cos2A.sin2A

= sec2A.cosec2A


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