Prove the following:`sqrt3cosec20^@-sec20^@=4`

Prove the following: cosec48^@+cosec96^@+cosec192^@+cosec384^@=0

Prove the following: cos20^@cos40^@cos60^@cos80^@=1/16

Prove the following: tanx+cotx=2cosec2x

Prove the following: (frac(sec2A-1)(sec4A-1))=frac(tanA)(tan4A)

Prove the following: (frac(cosec(90^@-x)sin(180^@-x)cot(360^@-x))(sec(180^@+x)tan(90^@+x)sin(-x)))=-1

Select and write the correct answer from the given alternatives in each of the following:The value of sqrt3cosec20^@-sec20^@ is equal to=

Prove the following: tan20^@tan80^@cot50^@=sqrt3

Prove the following: 2sec^2theta-sec^4theta-2cosec^2theta+cosec^4theta=cot^4theta-tan^4theta

Prove the following: sin20^@sin40^@sin80^@=sqrt3/8

Prove the following: 2cosec2x+cosecx=secxcot(x/2)