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:
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Answer: 2 1/4 more flour for 9 servings
Step-by-step explanation: (a) how many total cups of flour are there per serving? show your work
1 1/2÷6= 3/2 x 1/6 = 3/12= 1/4 cups of flour per serving
(b) how many total cups of sugar (white and brown) are there per serving?show your work
3/4 + 1/3 = 9/12 + 4/12= 13/12= 1 1/12 total cups of sugar
13/12 ÷ 6/1 = 13/12 x1/6 = 13/72 per serving
(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work/
1/4 x 9 = 9/4 = 2 1/4 more flour for 9 servings.
Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= 
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ 
cross multiplying
⇒ 
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= 
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Answer:
24
Step-by-step explanation:
How do we know that a circle must complete up to 180, then we have to:
180 - 48 = 132
Now knowing this distance we can also know the other, starting from the same concept, in addition to what the circle below is like, a semicircle refers to so we divide by 2:
(180-132) / 2 = 24
Therefore the answer is 24.
We can also do it ABC is half of ADC. So ABC = 48/2 = 24
