The expression `(1+sin22^@sin33^@sin35^@)/(cos^2 22^@+cos^2 33^@+cos^2 35^@)` simplifies to

sin^2 33^@+cos^2 57^@=

sin 85^(@)-sin 35^(@) - cos 65^@

The expression (sin 22^(@)cos 8^(@)+cos 158^(@) cos 98^(@))/(sin 23^(@) cos 7^(@)+cos 157^(@) cos 97^(@)) when simplified reduces to

The expression (sin 22^(@)cos 8^(@)+cos 158^(@) cos 98^(@))/(sin 23^(@) cos 7^(@)+cos 157^(@) cos 97^(@)) when simplified reduces to

The smallest positive value of x (in degrees) for whichcos tanx=(cos5^@ cos 20^@ + cos 35^@ cos 50^@-sin 50^@ sin 20^@ - sin35^@ sin50^@)/(sin5^@ cos 20^@ - sin 35^@ cos 50^@ + cos 5^@ sin 20^@ - cos 35^@ sin 50^@) is equal to

The smallest positive value of x (in degrees) for whichcos tanx=(cos5^@ cos 20^@ + cos 35^@ cos 50^@-sin 50^@ sin 20^@ - sin35^@ sin50^@)/(sin5^@ cos 20^@ - sin 35^@ cos 50^@ + cos 5^@ sin 20^@ - cos 35^@ sin 50^@) is equal to

The value of (sin 85^@ - sin 35^@)/(cos 65^@) is

The value of the expression (2(sin1^(@)+sin2^(@)+sin3^(@)+...+sin89^(@)))/(2(cos1^(@)+cos2^(@)+...+cos44^(@))+1) equals

The value of (sin 85^(@)-sin 35^(@))/(cos 65^(@))=

Prove the following: sin18^@cos39^@+sin6^@cos15^@=sin24^@cos33^@