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If sin^(2)(10^(@))sin(20^(@))sin(40^(@))...

If `sin^(2)(10^(@))sin(20^(@))sin(40^(@))sin(50^(@))sin(70^(@))=alpha-(1)/(16)sin(10^(@))`, then `16+alpha^(-1)` is equal to ________.

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Explore conceptually related problems

(i) sin10^(@)sin50^(@)sin70^(@)

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

value of sin10^(@)sin30^(@)sin50^(@)sin70^(@)

sin10^(@)sin30^(@)sin50^(@)sin70^(@)sin90^(@)=

Find 1-sin10^(@)sin50^(@)sin70^(@) .

sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

sin10^(@)sin50^(@)sin60^(@)sin70^(@)=(sqrt(3))/(16)

sin20^(0)sin40^(0)sin60^(0)sin80^(@)=(3)/(16)

Prove that: sin10^(0)sin30^(0)sin50^(@)sin70^(@)=(1)/(16)

Prove that: sin20^(@)sin40^(0)sin60^(@)sin80^(@)=(3)/(16)