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Show that: s in 50^0cos85^0=(1-sqrt(2)si...

Show that: `s in 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))`

Text Solution

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`=sin 50^{circ} cos 85^{circ}`

`=frac{1}{2}(2 {Sin} 50^{circ} {Cos} 85^{circ})`

`=frac{1}{2}[sin (50^{circ}+85^{circ})+sin (50^{circ}-85^{circ})]`

`=frac{1}{2}[frac{1}{sqrt{2}}-sin 35^{circ}]`

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