Answer:
See below.
Step-by-step explanation:

Convert the cotangent to cosine over sine:

Use the cofunction identities. The cofunction identities are:

To convert this, factor out a negative one from the cosine and sine.

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

Answer:
y = (x-3)^2 - 17
Step-by-step explanation:
To complete the square, take the middle term bx and divide it in two. Then take the square.
x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.
Now to finish completing the square add 9 and subtract 9 from one side.
y = x^2 - 6x - 8
y = (x^2 - 6x +9) -9 - 8
y = (x-3)^2 - 17
Answer:
108.862 kg
Step-by-step explanation:
270lb -30lb =240 lb
240 lb is approx. 108.862 Kg
(Pounds are approx 2.205 times Kg)
<em>I hope this helps! :)</em>
Based on PEMDAS, in this expression, we need to do multiplication first, which is 2 times 3, which is 6. Now, the expression is 14-6+42. 14-6 is 8, and 8+42 is 50, so the answer is 50.
Hope this helps!