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

Show that sin70^(0)cos10^(0)-cos70^(0)sin10^(0)=(sqrt(3))/(2)

Prove that : sin70^@ cos 10^@- cos70^@ sin 10^@= sqrt3/2 .

Show that : cos 70^0.cos10^0 + sin 70^0 . Sin10^0 = 1/2

Prove that: sin 80^0-cos 70^0=cos 50^0

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))

Prove that: sin 40^0+sin 20^0=cos 10^0

Prove that: \ sin 50^0+sin 10^0=cos 20^0

Prove that: \ sin 10^0sin 50^0sin 60^0sin 70^0=(sqrt(3))/(16)

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

Prove that : (cos 10^0 - sin 10^0)/(cos 10^0 + sin 10^0) = tan 35^0