Evaluate the following and justify your answer.
` sin 5^(@) cos 85^(@) +cos 5^(@) sin 85^(@) `

Evaluate the following and justify your answer. (i) (sin ^(2) 15^(@) +sin ^(2) 75^(@) )/( cos ^(2) 36^(@) +cos ^(2) 54^(@))

Evaluate : sin25^(@)cos65^(@)+cos25^(@)sin65^(@)

Evaluate the following: "sin"(cos^(-1)3//5)

Evaluate the following sin 45 ^(@) +cos 45^(@)

Evaluate cos 12^(@) -sin 78^(@)

State whether the following are true or false. Justify your answer: sin (A + B) = sin A + sin B

Evaluate the following : (sin72^(@)+cos18^(@))(sin72^(@)-cos18^(@))

Evaluate the following : sin60^(@)cos30^(@)+sin30^(@)cos60^(@)

Evaluate the following determinates |{:(sin10^@,-cos10^@),(sin80^@, cos80^@):}|

Evaluate the following (sin theta +cos theta )^(2) +(sin theta -cos theta )^(2)