please solve this question
please
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Step-by-step explanation:
(1+tanAtanB)²+(tanA-tanB)²
=1+tan²Atan²B+2tanAtanB+tan²A+tan²B-2tanAtanB
=1+tan²A+tan²Atan²B+tan²B
=sec²A+tan²B(1+tan²A)
=sec²A+tan²Bsec²A
=sec²A(1+tan²B)
=sec²Asec²B
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(1+tanAtanB)²+(tanA-tanB)²
=1+tan²Atan²B+2tanAtanB+tan²A+tan²B-2tanAtanB
=1+tan²A+tan²Atan²B+tan²B
=sec²A+tan²B(1+tan²A)
=sec²A+tan²Bsec²A
=sec²A(1+tan²B)
=sec²Asec²B
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