Respuesta :
Answer:
0.546 , -4.71
Step-by-step explanation:
Given:
An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.
Here, Slope = tan\theta
If θ = 0.5
Then, Slope = tan(θ) = tan(0.5) = 0.546
If θ = 1.78
Then, Slope = tan(θ) = tan(1.78) = - 4.71
The expression (in terms of θ) that represents the varying slope of the terminal ray.
Slope = m = tanθ, where θ is the varying angle
A) The slope of the terminal ray when θ = 0.5 radians is; 0.5463
B) The slope of the terminal ray when θ = 1.78 radians is; -4.71
C) The expression that will represent the varying slope of the terminal ray is;
tan (Δy/Δx)
We are given that θ represents the angle's varying measure (in radians).
Now, in mathematics, slope is simply the tangent of an angle. Thus;
A) At θ = 0.5 radians ,
Slope of terminal ray = tan θ
Slope = tan 0.5
Using radians calculator, tan 0.5 = 0.5463
Thus, slope = 0.5463
B) At θ = 1.78
Slope of terminal ray = tan θ
Slope = tan 1.78
Using radians calculator, tan 1.78 = -4.71
Thus, slope = -4.71
C) The expression that will represent the varying slope of the terminal ray is;
tan (Δy/Δx)
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