algebra 2

Please show how to do these problems so i understand.
1)Prove that sin^2 x (1+cot^2 x)=1

2)Prove that tan x (cot x+tan x)=sec^2 x

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  1. well,

    1+cot^2 = csc^2

    tan(cot+tan) = 1 + tan^2

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