Show that `|[sin 10^0,-cos 10^0],[ sin 80^0,cos 80^0]|`=1

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

Show that |sin100-cos100sin80o cos80o|=1

What is the value of |(sin 10^(@)-cos 10^(@)),(sin 80^(@),cos 80^(@))| ?

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

Show that |{:("sin"10^(@), -"cos"10^(@)), ("sin"80^(@), "cos"80^(@)):}| =1.

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

Which of the following number (s) is/are rational ? a.sin 15^0 b. cos 15^0 c.sin 15^0cos 15^0 d. sin 15^0 cos 75^0

Prove that :sin51^(0)+cos81^(0)=cos21^(0)

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