Show that `sin 70^0 cos 10^0 - cos 70^0 sin 10^0 = sqrt(3)/2`

Prove that (i) sin 70^(@) cos 10^(@) -cos 70^(@) sin 10^(@) =(sqrt(3))/(2) (ii) cos 50^(@) cos 10^(@) -sin 50^(@) sin 10^(@) =(1)/(2) (ii) cos 80^(@) cos 20^(@) + sin 80^(@) sin 20^(@) =(1)/(2) (iv) sin 36^(@) cos 9^(@) + cos 36^(@) sin 9^(@) =(1)/(sqrt(3))

(2cos 40^0-cos 20^0)/(sin 20^0)=

sin 70^(@)cos 10^(@) - cos 70^(@) sin 10^(@) = _________

cos70^(@)+sin40^(@)=

Show that: cos70^(@)*cos10^(0)+sin70^(@)*sin10^(@)=(1)/(2)

(sin 70^(@) + cos 40^(@))/(cos 70^(@) + sin 40^(@))=

The value of the expression (1-4sin 10^0 sin 70^0)/(2sin 10^0 ) is- a.1/2 b. 1 c.2 d. none of these

Show that det[[sin10^(0),-cos10^(0)sin80^(@),cos80^(@)]]=1

show that sin35sin55-cos35cos55=0