Find cos , csc 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
cose
10
9
csc
tan

Answer:

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

The ratios are valid only in right triangles, or when one of the internal angles is 90°.

Take any of the acute angles as a reference, and the largest side as the hypotenuse, then:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}[/tex]

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The missing side of the triangle x can be calculated by using Pythagora's Theorem:

[tex]10^2=9^2+x^2[/tex]

Solving:

[tex]x^2=10^2-9^2=100-81=19[/tex]

[tex]x=\sqrt{19}[/tex]

For the angle marked as θ:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan\theta=\frac{\text{9}}{\sqrt{19}}[/tex]

Rationalizing:

[tex]\displaystyle \tan\theta=\frac{9\sqrt{19}}{19}[/tex]

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos\theta=\frac{\sqrt{19} }{10}[/tex]

[tex]\displaystyle \csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}[/tex]

[tex]\displaystyle \csc\theta=\frac{10}{9}[/tex]

True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times

The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.

what is 328.618 round to the nearest hundredth

A. 300
B. 328.60
C. 330
D. 328.62​

How would you describe this graph? Check all that apply.
continuous
discrete
increasing everywhere
decreasing everywhere
increasing then decreasing
decreasing then increasing

You and 5 friends are in a math club. A sponsor pays $75 to rent a bus to get to competition, a $100 entry fee for the team, and D dollars for each students t-shirt. Write an expression for the total amount the sponsor paid.

The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?​

PLEASE HELP ME ITS URGENT
Just the first one

Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Write an expression for the area of the triangle below.
Simplify your expression as much as possible.
(2x - 4)
(3x + 5)

Someone help solve this pleAse and ty!!!

The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?

What is the formula for the area of a square?

At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent

Chloe has 36/4 ounces of cocoa. She is making chocolate cakes for bake sale. If 9/2 ounces of cocoa are usef in each cake, how many cakes can Chloe make? Help please!

a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?

1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.

Drag the missing statements and reasons to the correct spot to complete the proof

Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?
it was reflected in the x-axis
it was rotated 270°
it was reflected in the y-axis
it was rotated 90° around the origin

Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.

Company B is cheaper by $180.

Company A is cheaper by $8,000.

Company B is cheaper by $8,000.

Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.

Determine which of the following angle measures are correct. Select all the apply

R - 27 / 6 = 7

SOLVE FOR R and thank you

Will make you brainliest!!! If correct!!

There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?

Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?

A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 miles?

A circular oil spill in the ocean is increasing in diameter at a rate of 200 feet per hour. By how many square feet is the oil spill increasing per hour?
Increase in diameter: d(h) = 200h; h in hours
Increase in area: A(d) = π(0.5d)2; d in feet
Which composite function represents the total area of the oil spill as a function of hours?

si el dominio de la función f(x)= 3x-2 es el conjunto {1,2,3} y su contradominio es el conjunto {1,4,7,10}. ¿Cuál es el rango de la función?

A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded in the truck. How many more candles are left to load on the truck? Please help me

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?

add (5y - 1)+ (-2y + 4)​