An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

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asked Mar 25, 2018 94.0k views

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Kafi · Answer 1 · 2018-03-29T18:26:10+0000

sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

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