(ii) sin 0(1+tan 0) + cos 0 (1 + cot 0) = (sec 0 + cosec )
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Step-by-step explanation:
by taking LHS
=sin0(1+sin0/cos0)+cos0(1+cos0/sin0)
=sin0{(cos0+sin0)/cos0}+cos0{(sin0+cos0)/sin0}
=sin0/cos0(cos0+sin0) + cos0/sin0(cos0+sin0)
=(cos0+sin0){sin0/cos0+cos0/sin0}
=(cos0+sin0){(sin²0+cos²0)/(cos0sin0)}
=(cos0+sin0){1/cos0sin0}
=cos0/cos0sin0 + sin0/cos0sin0
=1/sin0+1/cos0
=cosec0+sec0
LHS = RHS
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