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The angle [θ₁] is located in quadrant [i], and [cos(θ₁)=dfrac1017] .

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Final answer:

The angle in the first quadrant with a cosine of dfrac{10}{17} is approximately 59.04°.

Step-by-step explanation:

The question is about an angle in the first quadrant, and the given value is cosine of the angle. To find the angle, we can use the inverse cosine function (also known as arccosine). In this case, the inverse cosine of dfrac{10}{17} is approximately 59.04°.

So, the angle in the first quadrant with a cosine of dfrac{10}{17} is 59.04°.

Keywords: angle, quadrant, cosine, inverse cosine, arccosine

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