Show that `1/(sin10^@)-sqrt3/(cos10^@)=4`

Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4 .

Show that tan20^(@)+4sin20^(@)=(sqrt(3))

Show that cot(A+15^(@))-tan(A-15^(@))=(4cos2A)/(1+2sin2A) deduce that cot15^(@)=2+sqrt(3)

Show that sinh^(-1)(3)=cosh^(-1) (sqrt(10))

Show that (1+"Cos"pi/10)(1+"Cos"(3pi)/10)(1+"Cos"(7pi)/10)(1+"Cos"(9pi)/10)=1/16 (AP March-2015,May-2015,TS May-2015)

Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

Show that cos^(2)""(pi)/(10)+cos^(2)""(4pi)/(10)+cos^(2)""(6pi)/10+cos^(2)""(9pi)/10=2 .

The value of x in (0, (pi)/(2)) satisfying (sqrt(3) - 1)/(sin x) + (sqrt(3) + 1)/( cos x) = 4 sqrt(2) is

If sin hx = 3 , then show that x = Log_(e) (3+sqrt(10)) .