The values of cosine Ф and cotangent Ф are
and -1
Step-by-step explanation:
When a terminal side of an angle intersect the unit circle at
point (x , y), then:
- The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
- The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
- If x and y coordinates are positive, then the angle lies in the 1st quadrant
- If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
- If x and y coordinates are negative, then the angle lies in the 3rd quadrant
- If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant
∵ The terminal ray of angle Ф intersects the unit circle at point 
- According to the 1st and 2nd notes above
∴ cosФ = x-coordinate of the point
∴ sinФ = y-coordinate of the point
∵ The x-coordinate of the point is negative
∵ They-coordinate of the point is positive
- According the the 4th note above
∴ Angle Ф lies in the 2nd quadrant
∵ x-coordinate = 
∴ cosФ = 
∵ y-coordinate = 
∴ sinФ = 
- cotФ is the reciprocal of tanФ
∵ tanФ = sinФ ÷ cosФ
∴ cotФ = cosФ ÷ sinФ
∴ cotФ =
÷ 
∴ cotФ = -1
The values of cosine Ф and cotangent Ф are
and -1
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Answer:

Step-by-step explanation:
Given
Required
Determine the area in terms of time
From the question, we have:
-> radius per time
and
--> area from radius
The interpretation of the question is to find the composite function: a(t)
If
, and
, the
Substitute 0.5t for r



Answer:The surface area of this prism is the squares
Step-by-step explanation:the reason being is that the square on top is the surface of the prism
As per the problem
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days.
we have been asked to find
Which ratio shows the number of chlorine tablets needed for 42 days?
Since for each 14 days the number of tablets required is 5
So if you multiply the number of days by some number then, we will have to multiply the number of tablets required by the same number.
So When number of days
Then the number of tablets required for 42 days is 