The measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
<h3>How to determine the value of sin and cosine?</h3>
The tangent of the angle is given as:
tan(x) = -5/4
The hypotenuse is calculated as:
Hypotenuse = sqrt([(-5)^2 + (4)^2)
Evaluate the squares
Hypotenuse = ±√41
Given that sin(x) < 0, then
Hypotenuse = √41
The sin is calculated as:
sin(x) = -5/Hypotenuse
So, we have:
sin(x) = -5/√41
The cos is calculated as:
cos(x) = 4/Hypotenuse
So, we have:
cos(x) = 4/√41
The values of the reciprocal ratios are
sec(x) = √41/4
csc(x) = -√41/5
cot(x) = -4/5
Hence, the measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
Read more about trigonometry ratio at:
brainly.com/question/24349828
#SPJ1
