As θ increases from 0° to 90°, the value of cos θ tends toward which of the following?
Answers available: 0 and 1. (Putting pos/neg infinity is wrong so I just need to decide which).
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The cosine of an angle is the x-coordinate of the point of intersection of the terminal side of the angle and the unit circle.
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Is the answer 0?
When theta = 0 deg, cos(theta) = 1, since the x-coordinate of the point of intersection of the terminal side of of a zero-degree angle (in standard position) and the unit circle is 1.
I mean, the x-values are steadily decreasing so I assumed 0, but I am just making sure.
Thank you :)
As theta goes from 0 deg to 90 deg, the x-coordinate goes from 1 to 0.
@mathstudent55 could you help me with this one as well?
cos θ = 1/2 and θ terminates in QIV.
So far I have this: http://prntscr.com/8dhn18
Since theta is in 4th quadrant, sin will be negative
There is a reason why you are given in which quadrant theta belongs to, so you can apply proper signs!