The terminal ray of an angle A passes through the origin
The value of csc(A) is -1.2
The coordinates of the terminal ray is given as:
(x,y) = (-4,-6)
Start by calculating the length (L) of the hypotenuse
[tex]L = \sqrt{x^2 + y^2}[/tex]
So, we have:
[tex]L = \sqrt{(-4)^2 + (-6)^2}[/tex]
Evaluate the exponent
[tex]L = \sqrt{52}[/tex]
Evaluate the root
[tex]L = 7.2[/tex]
The sine of the angle A is then calculated as:
[tex]\sin(A) = \frac{-6}{7.2}[/tex]
The csc of the angle A is then calculated as:
[tex]\csc(A) = \frac{1}{\sin(A)}[/tex]
So, we have:
[tex]\csc(A) = \frac{7.2}{-6}[/tex]
[tex]\csc(A) = -1.2[/tex]
Hence, the value of csc(A) is -1.2
Read more about terminal rays at:
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