Consider the diagrams below each angle measure theta is a wh

Consider the diagrams below, each angle measure, theta, is a whole value when measured in radians. Determine the slope of the terminal ray. slope of terminal ray: 1.117 slope of terminal ray: 1.620 slope of terminal ray: -2.532

Solution

A)
It is in 4th quad.
And fourth quad is over 3pi/2 to 2pi
So, 4.7123889803846899 to 6.2831853071795865
So, it could be either 5 or 6 radians, clearly it is closer to 3pi/2
So, theta = 5 radians here
Slope = tan(theta)
= tan(5 radian)
= -3.3805

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B)
1st quad is from 0 to pi/2
0 to 1.5707963267948966
So, clearly theta = 1 radian
slope = tan(1 radian)
= 1.5574

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C)
3rd quad is from pi to 3pi/2
3.1415926535897932 to 4.7123889803846899
So, only whole number is theta = 4
tan(theta) is slope
= tan(4 radian)
= 1.1578