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For A in R, P.T (i) sinAsin(pi/3+A)sin(p...

For `A in R`, P.T (i) `sinAsin(pi/3+A)sin(pi/3-A)=1/4sin3A` (ii) `sin20^@sin40^@sin60^@sin80^@=3//16`

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For A in R , prove that sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16

sin 20^(@) * sin 40^(@) * sin 60^@ * sin 80^(@) =

sin10^(@)+sin20^(@)+sin40^(@)+sin50^(@)-sin70^(@)-sin80^(@)=

sin^(3)20^(@)+sin^(3)40^(@)-sin^(3)80^(@)=

Sin^(-1)("sin"(2pi)/3)=

sin 40^(@) - sin 80^(@)+ sin 160^(@) =

Prove that sinthetasin(60^(@)+theta)sin(60^(@)-theta)=1/4sin3theta Hence deduce that sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3//16 (OCT-97,INST.93)

"sin"pi/14" sin"(3pi)/14" sin"(5pi)/14" sin"(7pi)/5=

Show that sin10^(@)+sin20^(@)+sin40^(@)+sin50^(@) =sin70^(@)+sin80^(@)