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PROVE THAT (1+tanAtanB) 2 +(tanA-tanB) 2 =sec 2 A×sec 2 B

  PROVE THAT                                                      (1+tanAtanB)2+(tanA-tanB)2=sec2A×sec2B

Grade:10

1 Answers

Aakanksha Talreja
34 Points
8 years ago
Expand it n factorise it u will get d result
1+\tan ^{2}A*\tan ^{2}B+2\tan A\tan B+\tan ^{2}A+\tan ^{2}B-2\tan A\tan B=1+\tan ^{2}A+\tan ^{2}A*\tan ^{2}B+\tan ^{2}B=(1+\tan ^{2}A)(1+\tan ^{2}B)=\sec ^{2}A\sec ^{2}B

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