MATHEMATICS HIGH SCHOOL

1. Complete the tables of values below for graphing the secant and cotangent functions. You can type “U” for an undefined value. Use exact values with fractions and square roots, not the decimal approximations. For example, use 3/2 rather than 0.866 (pictures attached) 2. Graph the secant graph for 0 ≤ x ≤ 2π. Graph the cotangent graph for 0 ≤ x ≤ 2π. (don't need these pictures I have them)

3. Indicate whether each of the three reciprocal functions (cosecant, secant, and cotangent) is a periodic function. If so, state the period of each.

4. List the domain and range for the secant and cotangent functions. (Use "pi" for π.)

5. Compare the graphs of the cosecant and secant functions. How are they different? How are they similar?

Answers

Answer 1

Answer:

Step-by-step explanation:

1. All the trigonometric values can be found using the unit circle. See attached table.

2. Graph:

desmos.com/calculator/10n7yrm3tm

3. All trig functions are periodic functions. The period of secant and cosecant is 2π. The period of cotangent is π.

4. Using the table from step 1 and the graph from step 2, secant has a domain of x ≠ pi/2, 3pi/2 and a range of x ≤ -1, x ≥ 1. Cotangent has a domain of x ≠ 0, pi, 2pi and a range of -∞ < x < ∞.

5. Graph:

desmos.com/calculator/tldiqt7qra

Cosecant has the same graph as secant shifted π/2 to the right. So they have different domains, but the same range.

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What are 2 numbers that add up to 14 and multiply to 45?

Answers

9+5=14 and 9*5=45 Hope that helps:) Probably other numbers too.

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?11 business class and 16 economy class

12 business class and 15 economy class

15 business class and 12 economy class

16 business class and 11 economy class

Answers

In order to get as many tickets they need 15 business class tickets and 12 economy class tickets (700x15=10,500)(375x12=4500) Which when you add those two makes 15,000.

the area of the U.S. is about 3.778 million square miles. Approximately670000 square miles are worked for food production. what percent of the U. S. is worked for food production?

Answers

$(670,000)/(3,778,000)$ × $100=9.71$ %

Fill the graph PLEASE I NEED A LOT OF HELP ON THIS I'LL GIVE ALMOST ALL MY POINTS AND BRAINLIEST!!!!

Answers

~Hello There!~

Parallelogram:

Properties of opposites sides: congruent

Properties of consecutive sides: not parallel

Properties of opposite angles : congruent (the same)

Properties of consecutive angles: supplementary (equal 180 degrees)

Properties of diagonals: bisect each other.

Rectangle:

Properties of opposite sides: congruent

Properties of consecutive sides: Perpendicular

Properties of opposite angles: congruent

Properties of consecutive angles: congruent

Properties of diagonals: bisect each other.

Rhombus:

Properties of opposite sides: congruent and parallel

Properties of consecutive sides: congruent but not parallel

Properties of opposite angles: congruent

Properties of consecutive angles: equal 180 degrees

Properties of diagonal: perpendicular

Square:

Properties of opposite sides: congruent

Properties of consecutive sides: congruent

Properties of opposite angles: equal

Properties of consecutive angles: equal

Properties of diagonal equal and perpendicular

Trapezoid:

Properties of opposite sides: top and bottom are parallel

Properties of consecutive sides: none

Properties of opposite angles: none

Properties of consecutive angles: none

Properties of diagonal: none

Kite:

Properties of opposite sides: none

Properties of consecutive sides: two sets of congruent sides

Properties of opposite angles: 1 set of congruent angles

Properties of consecutive angles: none

Properties of diagonal: Perpendicular

Isosceles trapezoid:

Properties of opposite sides: top and bottom and parallel. 2 sides congruent.

Properties of consecutive sides: none

Properties of opposite angles: none

Properties of consecutive angles: two base angles are equal

Properties of diagonal: none.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

First to answer gets brainliest!!

Answers

Answer:

its B

Step-by-step explanation:

It b

Because I’m smart like that

You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-price tax you can pay without going over budget? is it A. $97.68 B. 100.00 C. 105.05 D. 111.11

Answers

You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-tax price you can pay without going over budget?8% of 120 is 110.4