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ozzi
3 years ago
15

Find cot 0 if cos 0=3/13

Mathematics
2 answers:
natta225 [31]3 years ago
6 0
3/4 root 10
you make a right triangle. use Pythagorean theorem. and find the opposite side. then reduce the radical of 160. and do tan and then flip them around to make cot.
nekit [7.7K]3 years ago
6 0
<h2>Answer:</h2>

The value of:

          \cot \theta=\dfrac{3}{4\sqrt{10}}

<h2>Step-by-step explanation:</h2>

We are given,

\cos \theta=\dfrac{3}{13}

We know that cos θ is the ratio of base and hypotenuse of a right angled triangle corresponding to θ.

On applying Pythagorean Theorem in ΔABC we get:

13^2=3^2+a^2\\\\\\i.e.\\\\\\169=9+a^2\\\\\\a^2=160\\\\\\i.e.\\\\\\a=4\sqrt{10}

Hence, the value of \cot \theta is defined as the ratio of base to perpendicular length of the triangle.

              Hence,

         \cot \theta=\dfrac{3}{4\sqrt{10}}

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From the question,

Tressa's home is 4/5 mile from school

and Anton's home is 3/5 mile from school.

To determine how many times the distance from Anton's home to school is the distance from Tressa's home to school, we will divide the distance from Tressa's home to school by the distance from Anton's home to school

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Learn more here: brainly.com/question/17420260

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