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
The Medicare tax rate is 1.45%
The wages of a person is $1738
The amount which is withheld from the person paycheck is
<h3>
<u>Explanation</u></h3>

- Solve the equation for d-term.
Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

Substitute d = -11 in the equation.

The equation is true for d = -11.
<h3>
<u>Answer</u></h3>
<u>
</u>
Quantity of gasoline needed by a car to run 800 miles = 30 gallons
Quantity of gasoline needed by a car to run 1 mile =
= 30 ÷ 800
= 0.0375 gallons
So , to run 1 mile a car would need = 0.0375 gallons of oil
To run 700 miles the quantity of gasoline needed =
= 700 × 0.0375
= 26.25 gallons of gasoline
Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .