Verify the identity.

[tex]cos 4u = cos^{2} 2u - sin^{2} 2u[/tex]

Answers

Answer 1

Answer:

Yes, it is an identity

Step-by-step explanation:


Related Questions

In ΔLMN, the measure of ∠N=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the measure of ∠L to the nearest tenth of a degree.

Answers

Answer:

L=43.6637≈43.7∘

Step-by-step explanation:

Answer:

43.7

Step-by-step explanation:

SOH-CAH-TOA

cosL= adjacent/hypotenuse=6.8/9.4

cosL=6.8/9.4

L=[tex]cos^{-1}[/tex](6.8/9.4)

L=43.6637≈43.[tex]7^{o\\}[/tex]

Find the value of sin theta, if tan theta = 4; 180 < theta <270.

a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4

Please select the best answer from the choices provided
Ο Α
O B
О С
O D

Answers

Answer:  You can use the identity THE PICTURE THAT I PUT THERE

The sign is negative because the angle is in the 3rd quadrant.  This corresponds to ...  a. -(4√17)/17

value of sin ( theta ) = -4 (square root of ) 17 / 17

What are Trigonometry Functions ?

Real functions which relate to an angle of a right angled triangle to ratios of two side length.

Given

tan (theta) = 4`

sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)

sin(theta) = 4/(1+(4)^2)^(1/2)

                = 4/ (17)^ (1/2)

                multiplying  and dividing by 17 ^ (1/2), we get

                =  -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )

option a) -4 (square root of ) 17 / 17

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GIVING BRAINLIEST QUICK

Answers

Answer:

2

Step-by-step explanation: 2+5=7

Answer:

Step-by-step explanation:

For the top (cyan/blue)equation x would = 2

For the bottom (orange/red) it could be any. Only you can determine which order you want it but 7 must be the first number!

Have a good day!

Find 11.5% of 221.9. Round to the nearest thousandth.

Answers

Answer:

11.5% of 221.9=11.5/100×221.9=0.115×221.9=25.5185=26

10÷7(19+28)×20÷6=???​

Answers

Answer:

109 2/3

Step-by-step explanation:

10 / 7(47) x 20 / 6 =

10 / 329 x 20 / 6 =

32.9 x 20 / 6 =

658 / 6 =

109 2/3

Hope that helps!

(1,5) (-1, 1) translation​

Answers

Creo q esta es la correcta

In ΔRST, the measure of ∠T=90°, the measure of ∠R=56°, and ST = 73 feet. Find the length of TR to the nearest tenth of a foot.

Answers

Answer:

49.2

Step-by-step explanation:

5.2.PS-14
Find 3 ratios that are equivalent to the given ratio.
10:16

Answers

Step-by-step explanation:

three ratios equivalent to 10:16

5:8, 20:32, 100:160

11. Which of the following statements contains a quotient?
O A.76 = 42
OB. 42 - 6 = 7
O C. 7 + 6 = 13
OD.7 - 6 = 1

Answers

........ The answer is B

Please help ASAP!!!!!!

Answers

Answer:

what are the answer choices. List them out and do the process of elimination and we could go from there ig

Step-by-step explanation:

what are the types of polynomial??​

Answers

Answer

Monomial, Binomial, and Trinomial

Explanation

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.

PLS HELP MEEEEE REEEEEEE

Answers

Answer:

$954.78

Step-by-step explanation:

Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.

879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)

(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT

Answers

Answer:

HN congruent to NL

Step-by-step explanation:

They have a line crossing both of them, signifiying congruence.

The 6th grade class is going on a Field Trip. The Adult to Student ratio is 2:5. If there are a total of 70 people on the Field trip, how many adults are on the field trip?
Plz Help plz

Answers

Answer:I think it 20 adult to 50 kids

Step-by-step explanation:

A car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?

Answers

Answer:

326.666miles

Step-by-step explanation:

v=distance/time (v=d/t)

d=140 miles

t=3hrs

v=d/t, v=140/3, v= 46.666mph

v=46.666mph

t=7hrs

d=?

v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles

Estimation Whool has diameter 15.1 in. Whool II has diameter 12.8 in. Round the diameter of each wheel to the nearest inch. About how much forthor wil Wheell travel in one rotation? Uno 3.14 for
Wheel I will travel about in further in one rotation.
(Round to the nearest integer as needed.)

Answers

Answer:

about 6 inches

Step-by-step explanation:

No 1 goes 15x3.14 = 47.1 inches in one turn

No 2 goes 13x3.14 = 40.82 inches in one turn

47.1-40.82 = 6.28 inches

finding measures of the numbered angles. no explanation.

Answers

1: 61 2: 119 4: 119 5: 119 6: 61 7: 119

please l, I really need help like ASAP. my thing ends in 5 minutes!!!!​

Answers

Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

brainllest and 10 pionts PLEASE hurry

Answers

Answer:

(-5,-8)

(or the last choice)

Answer:

D. (-5, -8)

Step-by-step explanation:

(-5, -3), five down would mean -5 to y.

good luck, i hope this helps :)

2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?

Answers

Answer:

Equation: 160 + 3x = 195 - 2x

Solution: 7 weeks

Step-by-step explanation:

x is going to stand for the number of weeks

Nick:

160 + 3x

Adam:

195 - 2x

Equation: 160 + 3x = 195 - 2x

Solution: 7

They would weigh 181 pounds

The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

a.

Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:

160 + 3w = 195 - 2w

b.

To solve for w, we can simplify the equation:

160 + 3w = 195 - 2w

5w = 35

w = 7

c.

To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:

Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds

Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds

Thus,
The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

Learn more about equations here:

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what is 3 times 4 times 50

Answers

600 is your awnsrerrrrrrrrrrrrr

If f(x) = 5x, what is f-1 (x)?
F-1(x) = -5x
F-1(x) =-1/5x
F-1(x) =1/5x
F-1(x) = 5x

Answers

Answer:

The inverse function is y=1/5x, which is option C).

Step-by-step explanation:

y=5x

x=5y

y=x/5

y=1/5x

Answer:

C

Step-by-step explanation:

Help Asap i need my work done fast

Answers

Answer:

2. 4

3. 15

4. integer zero

Plz help me out xx tysm

Answers

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation

Answer:

x / 2 = 44.3

Hope that helps!

Step-by-step explanation:

PLEASE HELP ME WITH THIS!!

World Gym has an initial fee of $100 and $50 per month. Flex Gym has an initial fee of $200 and $25 per month. How many months will it take
until you would pay the same amount to join at both gyms?
a. 4 months
b. 5 months
C. 2 months
d. 6 months

Answers

answer:

a. 4 months

step-by-step explanation:

set up an expression for each and put them equal to each otherthis is the way you can use to solve these kinds of problemsbreak down the question into parts

m stands for months

world gym = 100 + 50m

flex gym = 200 + 25m

now put them equal to each other to know how many months it will take to pay the same amount to join

100 + 50m = 200 + 25m

50m = 100 + 25m

25m = 100

m = 4

this means it will take 4 months to pay the same amount to join

In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total

Answers

Answer:

7 refills

Step-by-step explanation:

Answer:

So I'm guessing the original price was 8.95 and each refill was 1.50.

8.95 + 1.50r = 37.45

r = 19

You got 19 refills

A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?

Answers

Answer:

5.8 m

Step-by-step explanation:

Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8

The ladder can reach a height of 5.6 meters.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a ladder that is resting against a wall.

Now, assume that the ladder can reach a height of [x] meters. Then when  the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -

(6 x 6) = x² + (1.5 x 1.5)

x² = (6 x 6) - (1.5 x 1.5)

x² = 7.5 x 4.5

x² = 33.75

x = 5.6 meters

Therefore, the ladder can reach a height of 5.6 meters.

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A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.

The operation is division.

The operation is multiplication.

The variable is the number of bags.

342 divided by 6 equals 57.

Write the division expression as a fraction, StartFraction p Over 6 EndFraction.

To evaluate, substitute 342 for the variable.

Each bag will have 57 peanuts.

The constant is 342.

Answers

Answer:

Step-by-step explanation:

6 P = 342

To solve the question, you need to divide by 6

You don't multiply

The operation is division

The variable is the number of peanuts in each bag.

The answer is 57

The last two are incorrect.

x/p // 6 / end fraction

start fraction /p * end fraction /6

This doesn't make an awful lot of sense to me. But it is also untrue.

The variable P will never take 342

Answer: True statements

statement 1

Statement 4

HELP SOMEONE PLEASE !!!

Answers

Answer:

I dont know

Step-by-step explanation:

What is the 4 letter code?

Answers

1:A
2:H
3:C
4:B
Hope this helps :)
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