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Ashton Michael
Mathematics
9 October, 05:33
If sec0 = 25/24 find cot0
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Larry Lynn
9 October, 05:43
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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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