Show that (i) sin35^@ sin55^@-cos35^@ c...

Show that
(i) `sin35^@ sin55^@-cos35^@ cos55^@=0`
(ii) `tan10^@ tan 15^@ tan 75^@ tan 80^@=1`
(iii)`cos 38^@ cos 52^@ - sin 38^@ sin 52^@=0`

Verified by Experts

LHS=`cos(35^o)=sin(90^o-350^o)=sin55^o`
`cos(55^o)=sin(90^o-55^o)=sin35^o`
`sin35^osin55^o-sin55^osin35^o`
=0=RHS.

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