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Evaluate cos 48^(@) cos 42^(@) - sin48^(...

Evaluate `cos 48^(@) cos 42^(@) - sin48^(@) sin 42^(@)`

Text Solution

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`= Cos48^(@)cos42^(@)- Sin 48^(@)Sin 42^(@)`
`= Sin (90^(@)- 48^(@)) sin (90^(@)- 42^(@)) - Sin48^(@) Sin 42^(@)`
`= Sin 42^(@) Sin 48^(@)- Sin 48^(@) Sin 42^(@) =0`
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Knowledge Check

  • sin 12^(@) sin 48^(@) sin 54^(@) =

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    B
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    C
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  • sin 78^(@) - sin 66^(@) - sin 42^(@) + sin 6^(@) =

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    B
    `1//8`
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