Evaluate (if possible) the six trigonometric functions of the angle (0).
-5pi/6

Answer:

Step-by-step explanation:

You want the 6 trig functions of the angle -5π/6.

The angle is in the 3rd quadrant, so all trig functions are negative except the tangent and cotangent. The reference angle is -5π/6 +π = π/6.

Since you have memorized the values of the trig functions for multiples of π/6, you know ...

  sin(-5π/6) = -1/2

  cos(-5π/6) = -√3/2

  tan(-5π/6) = sin/cos = √3/3

  csc(-5π/6) = 1/sin = -2

  sec(-5π/6) = 1/cos = -2√3/3

  cot(-5π/6) = 1/tan = √3

Answer/Step-by-step explanation:

Use a Unit Circle, you may have access to (hopefully) or have been asked to memorize.

To find -5pi/6 count clockwise the sixths to 5. Or add:

-5pi/6 + 2pi

= -5pi/6 + 12pi/6

= 7pi/6

-5pi/6 is the same as 7pi/6 on the Unit Circle.

Use the coordinates at that spot

(-root3/2 , -1/2)

to find the six trig ratios.

The Unit Circle is a big, giant, Answer Key. It has all the trig answers on it all in one place. It looks like a scary math pizza, but really its all the answers all in one place.

Once you find your angle, the sine is the y-coordinate.

sin theta = -1/2

The cosine is the x-coordinate.

cos theta = -root3/2

Tangent theta is the sine over the cosine, sin/cos,

= y/x

= (-1/2) / (-rt3/2)

Use Keep-Change-Flip to simplify this.

see image.

= root3/3

Sec is cos flipped over. Csc is sin flipped over. Cot is tan flipped over (the math word is reciprocal)

Yes, just flip over sin to get csc:

sintheta = -1/2

csctheta = - 2/1 = -2

Flip over cos to get sec:

costheta = -rt3/2

sectheta = 2/-rt3

Then rationalize, see image.

= -2rt3/3

Flip over tan to get cot.

tantheta = 1/rt3

Use a form that's easy to flip.

cottheta = rt3/1 = rt3

see image.

If x = 3 and y = 25, what is the value of (xy )0?

james earns $3,129 a month. He is saving 1/3 of his income each month for a down payment on his home at the end of the year. How much money will james be saving each month?

Sandi's
house
School
2.5 in.
Sandi lives 5 miles from her school. One day, she took
the bus from her house to school. After school, she
went to the library to pick out a book. Then she went to
the park to read. If Sandi traveled along the route
shown, how far did she travel in all?
3 in.
miles
1.5 in.
Library
Park!

Pls Help!
On vacation, Jocelyn wants to have her hair braided in multiple braids to cover her head. It costs a flat rate of $3, plus $0.85 per braid. She had saved $32. How many braids can she get?

what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=

The Least Squares Assumptions ​, where 1. The error term has conditional mean zero given ​: ​; 2. ​, are independent and identically distributed​ (i.i.d.) draws from their joint​ distribution; and 3. Large outliers are​ unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ​? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions​ satisfied? A. OLS assumption​ (3) is satisfied but not​ (2). B. Both OLS assumptions​ (2) and​ (3) are satisfied. C. OLS assumption​ (2) is satisfied but not​ (3). D. Neither OLS assumption​ (2) nor​ (3) is satisfied.

1/3 of 36 solve using a tape diagram

Terry used a bag of marbles to do a probability experiment. In the experiment, he selected one marble at random from the bag, recorded the color, and put the marble back in the bag. He repeated this procedure 15 times and recorded the results in the table shown Based on the results, what is the probability that the next marble Terry selects will be a green marble? Mark all that apply.

tiny pulls with a force of 240n and utoy pull with a force of 200n. The angle between the force is 37 degree. What is th magnitude of the resultant force on the basket?

pls help 10 ptssssssss

Which statement about the data is true and find the median and range.

what is the value of x in each figure

PLEASE DON'T GIVE ME A LINK ​

what is 2+2 ?



im felling nice

A sports fan conducted a test to investigate whether male high school athletes are
equally divided among football, soccer, swimming, tennis, and basketball. A sample of
male high school athletes was selected and the resulting value of the chi-square test
statistic was 10.65. Which of the following represents the p-value?

of the 12 eggs in the carton, 3 were broken. What percent were broken?​

help asap pleaseeeeeeeeee

In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.

The Pythagorean Theorem can be used to find missing side lengths of any type of triangle.

Find GH. What does GH equal?

Helpppppppp details in picture

Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas????

evaluate 13+ 6/y when y=6

What percentage of students in this dot plot spent more than 5 hours on homework?
(Hint: there are 25 dots in total)

¼ y + ⅜ ? I don't know what to do

Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?

Type in your answer with no spaces and all lower case x.
Factor x^2−100

Which expression is equivalent to:
- 6x + 10 – 16

Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2

Find the product of the following

1. (2x - 5)(2x + 5)

2. (5b - 6y)(5b + 6y)

3. (4k + 7)(4k - 7)

4. (y - 5)(y + 5)

5. (3x - 2)(3x + 2)

6. (13x + 2x^3)(13x - 2x^3)

7. (2a + 1)(2a - 1)

8. (9y^2 + 8)(9y^2 - 8)

A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 31 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data se