Respuesta :

mergl
(5^2+4^2)^.5=41^.5
tan=sin/cos
quadrant 3 cos is negative
cos theta=-4/41^.5

The value of cos θ in the third quadrant is gotten as; cos θ = -4/√41

How to work with Trigonometric Ratios?

We are given that;

tan θ = 5/4

Now, in the third quadrant, only tan θ is positive and as such cos θ will be negative in this third quadrant.

tan θ = 5/4 = opposite/adjacent

Thus;

hypotenuse = √(5² + 4²)

hypotenuse = √41

Thus;

cos θ = -4/√41

Read more about Trigonometric Ratios at; https://brainly.com/question/13276558

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