Respuesta :
Answer:
Below
Step-by-step explanation:
The length of the hypotenuse is √[(-5)^2 + 2^2]
= √29.
sin theta = 2 /√29
csc theta = 1 / 2/√29 = √29/2
cot theta = -5/2.
Hence, the value of sin,cos and cot is [tex]\frac{2}{\sqrt{29} }[/tex], [tex]\frac{5}{\sqrt{29} }[/tex], [tex]\frac{5}{2}[/tex] respectively.
What is the terminal side?
Positive Angles: Positive angles are angles such that their initial side is the positive x-axis and their “terminal” side is determined by turning in a counterclockwise direction.
How to solve?
If (-5,2) is the terminal point, the,
base = 5
height = 2
hypotenuse = [tex]\sqrt{5^2 + 2^2}[/tex]
= [tex]\sqrt{29}[/tex]
Now,
sin(theta) = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{2}{\sqrt{29} }[/tex]
cos(theta) = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{5}{\sqrt{29} }[/tex]
cot(theta) = [tex]\frac{base}{perpendicular}[/tex] = [tex]\frac{5}{2}[/tex]
to learn more about terminal side: https://brainly.com/question/1982296
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