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

Express each of the folloiwng as a product (i) sin 75^(@)-sin 35^(@) (ii) cos 65^(@)+cos 15^(@) (iii) sin 50^(@)+sin 40^(@) (iv) cos 35^(@)-cos 75^(@) .

Evaluate |(sin 25^(@) cos 25^(@)),(-sin 65^(@) cos 65^(@))| .

(sin 65^(@) + sin 25^(@))/( cos 65^(@) + cos 25^(@))=

Evaluate: sin 25^(@) cos 65^(@) + cos 25^(@) sin 65^(@) .

Evaluate : (i) (cos 55^(@))/(sin 35^(@)) + (cot 35^(@))/(tan 55^(@)) (ii) sin 42^(@) sin 48^(@) - cos 42^(@) cos 48^(@)

Evaluate: sin 35^(@) cdot sin 55^(@) - cos 35^(@) cdot cos 55^(@).

Evaluate : (sin 35^(@) cos 55^(@) + cos 35^(@) sin 55^(@))/ (cosec^(2) 10^(@) - tan^(2) 80^(@))

Find sin 5^(@) cos 85^(@) +cos 5^(@) sin 85^(@)

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