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^(@))

Find x:sin 2x = sin 60^(@) cos 30^(@) - cos 60^(@) sin 30^(@) .

Say true or false and justify your answer: 2^3>5^2

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

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

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

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

Find the value of cos60^(@) cos 30^(@)-sin 60^(@) sin 30^(@)

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

State whether the following are true or false. Justify your answer. (iv) sin theta = cos theta for all values.