Preheat the oven to 180℃/160℃ fan/350℉. Line a 23 x 33 cm/9 x 13 in cake tin with baking paper.
To make the cake, whisk together the coconut milk, oil, sugar, vinegar and vanilla and coconut extracts in a large bowl.
430 g (1 + ¾ cups) coconut drinking milk (not tinned coconut milk), 133 g (½ cup + 5 teaspoons) neutral oil (I use olive, do not use coconut), 260 g (1 ¼ cups) caster or granulated sugar, 1 Tablespoon cider or white wine vinegar or lemon juice, 1 Tablespoon vanilla extract, 15 drops concentrated coconut extract
Whisk in the desiccated coconut, cornflour, baking powder, bicarbonate of soda and salt, followed by the plain flour.
85 g (1 cup) desiccated coconut, 35 g (5 Tablespoons) cornflour (cornstarch), 2 ½ teaspoons baking powder, ½ teaspoon bicarbonate of soda (baking soda), ½ teaspoon salt, 365 g (3 cups) plain (all-purpose) flour
Pour the batter into the lined tin, spread it level and bake for 25-30 minutes, until a skewer inserted into the centre comes out clean.
Let the cake cool in the tin for 15 minutes then turn it out onto a wire rack and leave to cool completely.