Question

prove that tan 50 - tan 40=2tan 10​

Answer 1

Answer:

we have tan(a+b) = (tan a +tan b)/(1-tan a tan b) tan(40+10) = (tan40+ tan10)/(1-tan40tan10) tan50 = (tan40+ tan10)/(1-tan40tan10) tan50(1-tan40tan10)=tan40+ tan10 tan50-tan50tan40tan10 = tan40+tan10 and tan50 = tan(90-40) = cot40 => tan50-cot40tan40tan10 = tan40+ tan10 tan50-tan10 = tan40+ tan10 because cot40= 1/tan40 tan50 = tan40+2tan10

Step-by-step explanation:

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Answer 2

You can Understand it easily

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