How do you find exact values?

Answers

Answer 1

Answer:

Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.

For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:

in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.

Step-by-step explanation:


Related Questions

Read the excerpt from "The Tell-Tale Heart."
Which statement best explains how the reader can
determine that the narrator is unreliable?
But you should have seen me. You should have seen
how wisely I proceeded—with what caution—with what
foresight—with what dissimulation I went to work! I was
never kinder to the old man than during the whole week
before I killed him. And every night, about midnight, I
turned the latch of his door and opened it-oh so
gently! And then, when I had made an opening
sufficient for my head, I put in a dark lantern, all closed,
closed, that no light shone out, and then I thrust in my
head. Oh, you would have laughed to see how
cunningly I thrust it in!
O The narrator is very kind to the old man during the
whole week before the murder.
O The narrator checks on the old man every night at
midnight to ensure his well-being.
O The narrator closes the lantern tightly so the old
man is not awakened by the bright light.
O The narrator believes that his audience will approve
of and even laugh at his plot to murder the old man.

Answers

The narrator checks the old man at every night at midnight

Answer:

The narrator checks the old man at every night at midnight

Step-by-step explanation:

FIND BC
round to the nearest HUNDREDTH ​

Answers

Answer:

CB = 30.15

Step-by-step explanation:

180-58-93 = 29 degrees for angle B

draw a line perpendicular to BC down to point A, lets call the perpendicular point D.

now you've got 2 similar, smaller triangles

angle A is split into two angles, 29 degrees above and 58 degrees below.

sin 29 =CD/16

CD = 7.75

cos 29 = AD/16

AD = 14

tan 58 =DB/AD = DB/14

DB = 22.40

CD + DB = 7.75 + 22.40 = 30.15

7b / b (when b = 2)
ANswer please

Answers

Answer:

7

Step-by-step explanation:

7b/b = 7...(b does not matter)

I think that the answer would be 7 because 7(2)/2 would be 14/2 resulting in 7.

A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir​

Answers

Answer:

tüm duruma (4×4×4 den 64)

(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar

(4×4×4)-(4×3×2)=40

Simplify the algebraic expression by combining like terms. Using algebra tiles might be helpful.
Link to Algebra Tiles
5x - 4 + x + 8 + 2x

Answers

Answer:

8x + 4

Step-by-step explanation:

Simplified

group like terms: (+5x + 1X + 2x) = 8x (-4 + 8) = 4 add the positive sign so you can get an equation: +4, so your simplified expression would be 8x + 4

Simplify all like terms:

8x + 4

Hope this helps!!

Find the value of x. Round your answer to the nearest tenth.

Answers

Encuentra el valor de x. Redondea tu respuesta a la décima más cercana.

Please help! tell me which one i need to mark off

Answers

Answer:

1) c

2)a

3)a

Step-by-step explanation:

Its write i rechecked it..

mark me the brainliest

thank u

hope it helped u

Find the unknown length x in the right triangle, to the nearest tenth .

Answers

Answer:

x = 11.7

Step-by-step explanation:

sin of an angle is opposite/hypotenuse

sin 38 = x/19

x = 19 sin 38

x = 11.7

You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.

Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue

Answers

2/3
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3

Jayson said, "I am thinking of two fractions that when added have a sum of 1." Which fractions could Jayson have been thinking about?

Answers

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

Which equation is equivalent to
1/5x-3=2/3

A 5X-45=3

B 3x - 15=10

C 3x-45 = 10

D X-15 = 10

Answers

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]

Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10

I need help quick I’ll give brainliest

Answers

Answer:

Area of circle - Area of square

radius of circle is 8m

side of squre os 12m

Step-by-step explanation:

Area of circle is pie r^2

22/7 × 8 × 8

22/ 7 × 64

= 201.14m^2

Area of square is side ^2

12 ×12

= 144m^2

hence 201.14 - 144

= 57.14m^2 is the area of shaded figure

GOOD LUCK FOR THE FUTURE! :)

POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN

Answers

Answer:

option 3  / hope this helps

Step-by-step explanation:

i did this test a while ago so if its wrong im sorry

Answer:

[tex] m\angle A = 40\degree[/tex]

Step-by-step explanation:

[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]

hey what's
[tex] \sqrt[5]{1024} [/tex]

Answers

Hello the answer is:

4

Answer:

[tex]4 \\ \: is \: your \: answer \: mate[/tex]

I hope it helps

enjoy your day

#Captainpower|~

ill give brainliest if its correct

Answers

Answer:

3 pieces

Step-by-step explanation:

Given: Figure

To find: Number of 8.5 in. ×  11 in. pieces used to cover the floors  of a room and a hallway in  her dollhouse

Solution:

In the given figure, AC = 22 in.

AB + BC = 22 in.

AB + EF = 22 (As BC = EF being opposite sides of rectangle)

AB + 10 = 22

AB = 22 - 10 = 12 in.

Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches

(area of rectangle = length × breadth )

CE = CD + DE = AH + GF (As CD = AH and DE = GF)

CE = 5 + 15 = 20 inches

Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches

(BC = EF = 10 in.)

Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches

Area of pieces of felt = 8.5 × 11

So,

Number of pieces required = Total area of the figure / Area of pieces of felt  =   3 pieces

Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question

Answers

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

3. Sandi is making curtains for her bedroom. She needs 58 feet of fabric. She has 14 yards of fabric. How many more yards of fabric does she need?​

Answers

Answer:

she needs 3 1/3 more yards

Step-by-step explanation:

There are 3 feet in a yard

14yards x 3feet = 42 feet

58 feet- 42 feet= 10 feet

10 divded by 3 is about 3.3

Answer: 6 yards

Step-by-step explanation:

1)    14 x 3 = 42

2)    58 - 42 = 16

3)    16 / 3 = 5.33333333....

4)     round up = 6

find the surface area of a cube with a side length of 5 centimeters.

Answers

The 6 faces of a cube have equal are.

Each face has are of 5*5=25 because they are all squares.

Now we just multiply by 6

25*6=150 centimeters cubed.

Done!

Step-by-step explanation:

step 1. a cube had 6 sides

step 2. each side is a square

step 3. the area of each side is 5x5 = 25cm^2

step 4. the surface area of the cube is 25x6 = 150cm^2.

what is 50 - 30%= i forget how to do it :C

Answers

Answer:

just do 50 times 0.3 your answer should be 15. subtract 15 from 50 and you'll have your answer 35.

Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7

Answers

Answer:

Step-by-step explanation:

57.6

Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=

Answers

y=17

Here is my answer, hope to help you.


What's the greatest ten you can multiply by 8 to get close to, but not go over 629

Answers

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

8v+5=1
v=_
pls help!!!

Answers

The answer is V = - 1/2. You need to subtract 5 on both sides -> 8v = 1-5 -> 8v=-4 and then divide by 8 to isolate the variable v to give you v=-1/2
v= -1/2
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)

Factor completely: x2-4

Answers

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

round 6 3/4 to the nearst whole number​

Answers

Answer:

7

Step-by-step explanation:

do you really need one?

The answer will be 7. This is because 6 and 3/4 is written out as 6.75 and if you round that you will get 7.

A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?

Answers

Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

What’s the scale factor (mark as brainliest)

Answers

Answer:

Its divided by 3

Step-by-step explanation:

bigger is 6, smaller is 2....shrinked by 3

Scale factor is 1/8!!!!!! Hope it helps

Select the correct answer.
What is the simplified form of ( \ sqrt 45)?
A. ( \ sqrt 5)

B. ( \ sqrt 9.5)

C. ( 3\ sqrt 5)

D. ( 5\ sqrt 3)

Answers

Answer: C. [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation: Plato/ Edmentum

The simplified form of square root 45 is 3√5. Therefore, the correct answer is option C.

The given number is √45.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Here, factors of 45 = 3×3×5

√45 = √3×3×5

= 3√5

Therefore, the correct answer is option C.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ6

someone help me with this ples with steps

Answers

Answer:

[tex]x=\frac{21}{4}[/tex]

[tex]y=\frac{21}{2}[/tex]

Step-by-step explanation:

equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]

step2: simplify the expression:

[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]

[tex]2x=\frac{21}{2}[/tex]

(divide by 2 for both sides)

[tex]x=\frac{21}{4}[/tex]

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

[tex]y=\frac{21}{2}[/tex]

A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.

Write an expression for how much both booths will cost for the same number of days.

Answers

Answer:

100+5x+50+7x

Step-by-step explanation:

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