if tanA+cotA=2;then prove that cot^³A+tan^³A=2
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Answer:
here is ur answer
Step-by-step explanation:
tanA+cotA=2
=>tanA+1/tanA = 2
=>(tan^2A+1)/tanA=2
=>tan^2A+1=2tanA
=>tan^2A-2tanA+1=0
=>(tanA-1)^2=0
=>tanA-1=0
=>tanA=1
Lhs=cot^3A+tan^3A
=1/tan^3A +tan^3A
=1/1^3 + 1^3
=1+1
=2=Rhs
hence proved
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