Ariana and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a picnic table to share them. Ariana
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You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
By following the formula, cos=3/5 then:
Multiply everything (inside the square 
root) by 5
Then just simplify
The answer is Square root of 20 over 5
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
By following the formula, cos=3/5 then:
Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.
1. Distance OD=distance OE, then:
.
2. Distance OD=distance OE, then:
.
Solve the system:
,
,
.
Then
.
Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.