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Right triangle: tan A + tan C

This type of question, asked 2 times: CDS 1 2021, CDS 2 2021. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2021

    54
    Let ABCABC be a triangle right angled at CC, then what is tan⁡A+tan⁡B\tan A + \tan B equal to?

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  2. Question 2

    CDS 2 2021

    60
    In a triangle ABCABC, right-angled at BB, AB+BC=10(1+3)AB + BC = 10(1+\sqrt{3}) cm and length of the hypotenuse is 20 cm. What is the value of tan⁡A+tan⁡C\tan A + \tan C ?

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