(sino+coseco)^2 + (coso+seco)^2 = 7 + tano +coto
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Step-by-step explanation:
L.H.S=(sin o + cosec o)²+(cos o+sec o)²
=sin²o+cosec²o+2 sin o cosec o + cos²o+sec²o+2 cos o sec o
we know that
sin o=1/cosec o and cos o=1/sec o
=sin²o+cosec²o+2+cos²o+sec²o+2
=sin²o+cos²o+cosec²o+sec²o+4
=1+1+cot²o+1+tan²o+4
=7+tan²o+cot²o
hope you understand
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