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3 years ago

Simplify and write the trigonometric expression in terms of sine and cosine:

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

Answer:

f(x) = + cosx or - cosx

Step-by-step explanation:

(2+tan^2x/sec^2x) -1 =(f(x))^2

=(( 1 + sec^2x)/sec^2x) -1

= 1 / sec^2x + 1 - 1

= 1 / sec^2x

= cos^2x

(f(x))^2 = cos^2x

f(x) = + cosx or - cosx

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In Exercises 5-8, find the perimeter and area of the polygon with the given vertices.

castortr0y [4]

Check the picture below.

as we can see in the picture, the lengths for YZ and ZX are very straight, let's get the side YX

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Y(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad X(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ YX=\sqrt{[2 - 0]^2 + [4 - (-2)]^2}\implies YX=\sqrt{2^2+(4+2)^2} \\\\\\ YX=\sqrt{4+6^2}\implies YX=\sqrt{40} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~+~~6~~+~~\sqrt{40}~~\approx~~14.32} ~\hfill \stackrel{\textit{\Large Area}}{\cfrac{1}{2}(2)(6)\implies 6}$

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3 years ago

Rotate the vector. (-3,5) 270° clockwise about the origin.

sesenic [268]

Answer: -5, -3

Step-by-step explanation: Got this right on Acellus

4 0

3 years ago

Katherine drove 112 miles in 4 hours. If she continued at the same rate, how far

antoniya [11.8K]

The answer would be 420 miles

8 0

3 years ago

Read 2 more answers

Use the conversion table to convert the following English units into the given metric units. Calculate all problems by hand. Rou

Gala2k [10]

10 in × 25.4 = 254 millimeters

60 ft × 0.3048 = 18.29 meters

4.5 in × 25.4 = 114.3 millimeters

12 US Quarts × 0.946 = 11.35 liters

25 ft/sec × 0.3048 = 7.62 meters

100 miles × 1.609 = 160.9 kilometers

<em>NOTE: Next time, please attach the conversion table to ensure we are using the table referenced in the question.</em>

8 0

3 years ago

a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choosing the points (0,4) and (2,10), we get:

$m=\frac{4-10}{0-2}=3$

We can susbstitute the point (0,4) and the slope into $y=mx+b$ and solve for "b":

$4=3(0)+b\\\\b=4$

Then, the equation of this line is:

$y=3x+4$

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

$d=3h+4$

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute $h=12$ into the equation and evaluate. Then we get:

$d=3(12)+4\\\\d=40$

4 0

3 years ago