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The value of sin10.sin50+sin50 .sin250+s...

The value of `sin10.sin50+sin50 .sin250+sin250.sin10` is

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`sin10sin50+sin50sin250+sin250sin10`
`1/2[2sin50sin10+2sin250sin50+2sin250sin10]`
`1/2[cos40-cos60+cos200-cos300+cos250-cos260]`
`1/2[cos40-cos60+cos(180+20)-cos(360-60)+cos(270-30)-cos(270-100)]`
`1/2[cos40-cos60-cos20-cos60-sin30+sin10]`
`1/2[cos40-cos20+sin10-1/2-1/2-1/2]`
`1/2[-2sin30sin10+sin10-3/2]`
`1/2[-2*1/2sin10+sin10-3/2]`
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