As θ increases, the value of cos θ increase, decreases or stays the same?
1 answer:
Answer:
As θ increases, the value of cos θ decreases
Step-by-step explanation:
As as θ increases, the value of cos θ decreases from 1 to -1 in the first two quadrants ( between 0 and 180 degrees). Cos(0) = 1, cos(90) = 0, cos(180) = -1.
On the other hand, as θ increases from 180 to 360 degrees (last two quadrants) the value of cos θ increases from -1 to 1.
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ANSWER
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,