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What is the solution to cot 40 deg - (sin 50 deg / sin 40 deg)?

Need to do without using calculator, which may be obvious. Think I have the correct solution, need to double check. Please show all steps that would be relevant. Thanks!

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To get the solution, first note from the cofunction property, that sin 50 = cos (90 - 50) = cos 40. Subbing this, you will have cot (40) - cos (40) / sin (40) = cot (40) - cot(40) and the answer will be 0.

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