cos teta - sec teta equal to 2 then cos n teta + sec n teta
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cosx+1cosx=2
=cos2x+1=2cosx
=cos2x−2cosx+1=0
=(cosx−1)2=0
=cosx=1
=secx=1
∴ (cosx)^100 + (secx)^100 = 2
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