Show that `(1)/(sin10^(@))-(sqrt(3))/(cos10^(@))=4`.

(1)/(sin 10^(@)) - (sqrt3)/(cos 10 ^(@)) = 4.

Show that 1/(sin 10^@) - sqrt3/(cos 10^@) = 4

Show that (1)/(2 sin 10^(@)) - 2 sin 70^(@) =1.

Show that : sin 30^(@)=sqrt((1-cos60^(@))/(2))

Show that ( cos 10^(@) + sin 10 ^(@))/( cos 10^(@) - sin 10 ^(@)) = tan 55^(@).

Show that: tan(1/2sin^(-1)(3/4))=(4-sqrt(7))/3

Show that: tan(1/2sin^(-1)(3/4))=(4\- sqrt(7))/3

Show that: sin (40^(@) + theta) cos (10^(@) + theta) -cos(40^(@) + theta) sin (10^(@) + theta) = (1)/(2)

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

Prove that (sin20^(@) + sin40^(@)) + (cos20^(@) + cos40^(@))=(sqrt(3)+1)cos10^(@)