Answer:
Step-by-step explanation:
1+tan2A(tanA)=sec2A
Right hand side
sec2A=1cos2A=1cos2A−sin2A
=cos2A+sin2Acos2A−sin2A
=1+tan2A1−tan2A
=1−tan2A+2tan2A1−tan2A
=1−tan2A1−tan2A+2tan2A1−tan2A
=1+2tanA1−tan2A×tanA
=1+tan2A×tanA
=Left hand side
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