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Question

Prove tan2(π6)c+sin2(π6)c+cos2(π3)csec2(π4)ccos2πc=13sec(π6)c+13cos(π3)c

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Solution

L.H.S=tan2(π6)+sin2(π6)+cos2(π3)sec2π4cos2π
=(13)2+(12)2+(12)2(2)2(1)2
=13+24
=2+36
=56
R.H.S
13sec(π6)+13cos(π3)
=13×(23)+13×12
=23+16
=4+16
=56

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