sin(45°-α)cos45°+cos(45°-α)sin45°=?

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sin(45°-α)cos45°+cos(45°-α)sin45°=?sin(45°-α)cos45°+cos(45°-α)sin45°=?sin(45°-α)cos45°+cos(45°-α)sin

sin(45°-α)cos45°+cos(45°-α)sin45°=?
sin(45°-α)cos45°+cos(45°-α)sin45°=?

sin(45°-α)cos45°+cos(45°-α)sin45°=?
sin(45°-α)cos45°+cos(45°-α)sin45°
=sin[(45°-α+45°]
=sin(90°-α)
=cosα