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Find the value of sin80cos20−cos80sin2...

Find the value of sin80cos20−cos80sin20

Text Solution

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`sin80^@cos20^@-cos80^@sin20^@`
We know, `sinAcosB - cosAsinB = sin(A-B)`
`:. sin80^@cos20^@-cos80^@sin20^@ = sin(80^@-20^@)`
`=sin60^@ = sqrt3/2`
`:. sin80^@cos20^@-cos80^@sin20^@ = sqrt3/2.`
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