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18 July, 10:50

If sec0 = 25/24 find cot0

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  1. 18 July, 12:06
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    cot θ = 24/7

    Step-by-step explanation:

    This will be difficult to explain without a diagram, but let's proceed.

    Since sec θ = 25/24 (secant θ is equal to hypotenuse/adjacent) the hypotenuse of the triangle is 25 and the side adjacent to θ will be equal to 24. To find the opposite side-length you can use the Pythagorean theorem.

    25^2 = 24^2 + a^2 (You can use either a or b as the variable)

    625 = 576 + a^2 (Subtract 576 from each side)

    a^2 = 49

    a = 7 (The sqrt of 49 is 7 | This is the side-length of the opposite side relative to θ)

    Since cotangent is always adjacent/opposite:

    cot θ = 24/7
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