We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x)

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)

6 0

3 years ago

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C'. . . . . If parallelogram EFGH is translated

lina2011 [118]

The ordered pair of point H is (1, -7). The correct answer between all the choices given is the third choice. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

8 0

3 years ago

A product tester measures four different sizes of shampoo bottles to see if they are filled accurately. The table shows the resu

yarga [219]

By comparing the percent error in all sample, the sample with least percent error is sample 2

Step-by-step explanation:

Percent error is calculated using the formula:

$Percent\ Error = \frac{|Approx\ Value- Exact\ Value|}{Exact\ Value}*100$

The percent error in each sample needs to be calculated to find the bottle with least percent error

Percent Error for Sample 1:

Amount on bottle = 14 ounces

Actual amount in bottle = 13.7 ounces

Putting the values in the formula

$Percent\ Error = E_1 = \frac{|13.7-14|}{14}*100\\= \frac{|-0.3|}{14}*100\\= \frac{0.3}{14}*100\\=0.214*100\\=2.14\%$

Percent Error for Sample 2:

Amount on bottle = 24 ounces

Actual amount in bottle = 24.4 ounces

Putting the values in the formula

$Percent\ Error = E_2 = \frac{|24.4-24|}{24}*100\\= \frac{|0.4|}{24}*100\\= \frac{0.4}{24}*100\\=0.0166*100\\=1.66\%$

Percent Error for Sample 3:

Amount on bottle = 25 ounces

Actual amount in bottle = 25.8 ounces

Putting the values in the formula

$Percent\ Error = E_3 = \frac{|25.8-25|}{25}*100\\= \frac{|0.8|}{25}*100\\= \frac{0.8}{25}*100\\=0.032*100\\=3.2\%$

Percent Error for Sample 4:

Amount on bottle = 39 ounces

Actual amount in bottle = 40.2 ounces

Putting the values in the formula

$Percent\ Error = E_4 = \frac{|40.2-39|}{39}*100\\= \frac{|1.2|}{39}*100\\= \frac{1.2}{39}*100\\=0.307*100\\=3.07\%$

By comparing the percent error in all sample, the sample with least percent error is sample 2

Keywords: Samples, Percent errors

Learn more about samples and errors at:

#LearnwithBrainly

5 0

4 years ago