Respuesta :
Answer:
The correct option is D.
Step-by-step explanation:
It is given that
[tex]\sin \theta =\frac{-77}{85}[/tex]
[tex]\cos \theta =\frac{36}{85}[/tex]
The angle of terminal ray is θ, it means the angle between x-axis and terminal ray is θ.
[tex]\sin \theta =\frac{perpendicular}{hypotenuse}[/tex]
[tex]\cos \theta =\frac{base}{hypotenuse}[/tex]
Therefore the length of perpendicular is 77 and the base of the triangle is 36.
Since sinθ is negative and cosθ is positive, it means point must be lies on fourth quadrant because in fourth quadrant cosine in positive but sine is negative.
The point of terminal ray is (base, perpendicular) and the sign are used according to the quadrant.
Therefore the point of terminal ray is (36,-77) because in fourth quadrant x is positive but y is negative. Option D is correct.
The coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
Given
Three trigonometric functions for a given angle are shown below.
sin theta = -77/85, cos theta=36/85, tan theta=77/36.
What is a terminal ray of angle?
A ray is defined as the initial side of the angle.
The second ray which is called the terminal side of the angle.
The value of the sin and cos theta then, the co-ordinate lies in the fourth quadrant.
Therefore, the coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).
To know more about Terminal ray click the link given below.
https://brainly.com/question/4379155
