Can anyone help me with trig identities?

Can Anyone Help Me With Trig Identities?

Answers

Answer 1

Answer:

cosA = √(21/25)

Step-by-step explanation:

We know

sin²(A) + cos²(A) = 1

Next, we know that sin(A) = 2/5. Plugging that into our equation, we get

(2/5)² + cos²A = 1

4/25 + cos²A = 1

subtract 4/25 from both sides to isolate cos²A

cos²A = 1 - 4/25 = 25/25-4/25 = 21/25

square root both sides to get

cosA = √(21/25)

We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.


Related Questions

A representative for a soup company conducted a survey
to determine whether people in a city were aware of the
soup company's new advertising campaign. The
researcher set up a booth outside a local supermarket for
7 days and asked randomly selected patrons as they
entered the store whether they would be willing to
participate in a survey. Of the 530 selected patrons,
482 agreed to take the survey, and 48 refused. Which of
the following factors makes it least likely that a reliable
conclusion can be drawn about the awareness of the soup
company's advertising campaign by all people in the
city?
A) Sample size
B) Population size
C) The number of days the survey was given
D) Where the survey was given

Answers

Answer:

Step-by-step explanation:

hol sinaoteentnedbieinlrpeagntaaau

Find the surface area of a cylinder with radius 7 and height 5.

Answers

Answer:

527.79 or 528

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757

Answer:

527.78757. If you would like to round it it would be 527.79 to the nearest tenth place

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757

Which is a factor of: 2x^2 - 4x – 6?


I don’t understand how u get it in this form of an answer

Answers

Answer:

A

Step-by-step explanation:

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

Find the measures of angles S and T in the triangle below.

Answers

Answer:

60 degrees

Step-by-step explanation:

The type of triangle we’re looking at is a equilateral triangle meaning all sides and all angle measures measure the exact same thing.

With all this information, angle S and T measure 60*
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!

Last year, Rob set up the Road Runner Race for his school.
The race was 1,200 meters long and 188 people signed up to
run the race. 38 people did not show up to run. This year,
there will be 3 times as many runners as last year. How
many people will run the race this year?

Answers

Answer:

450 runners

Step-by-step explanation:

g (3 points)Set up but do no solve the integral required to calculate the volume formed by rotating the region bounded by f(x) = 1/x,g(x) = 1/x^3, andx= 2, andx= 4 around they-axis. Also draw a picture of the region (non-revolved).

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]\displaystyleV=2*\pi*\int\limits^4_2 {(\dfrac{1}{x}-\dfrac{1}{x^3} )*x } \, dx \\=2*\pi*\int\limits^4_2 {(1-\dfrac{1}{x^2} ) } \, dx \\=2*\pi* [x+\dfrac{1}{x}]^4_2\\\\\boxed{V=\dfrac{7\pi}{2}}\\[/tex]

Find the exact value by using a half-angle identity.

tan seven pi divided by eight

Answers

9514 1404 393

Answer:

  1 -√2

Step-by-step explanation:

  [tex]\tan(x/2)=\dfrac{1-\cos(x)}{\sin(x)}\\\\\tan\left(\dfrac{1}{2}\cdot\dfrac{7\pi}{4}\right)=\dfrac{1-\cos\dfrac{7\pi}{4}}{\sin\dfrac{7\pi}{4}}=\dfrac{1-\dfrac{1}{\sqrt{2}}}{-\dfrac{1}{\sqrt{2}}}=\boxed{1-\sqrt{2}}[/tex]

tan(7π/8) = 1 -√2

The temperature in Buffalo, New York, was -2 °F one day. This was 42 degrees warmer than the temperature in Nome, Alaska, on the same day. Find the temperature in Nome. Justify your answer by writing and solving an equation. pls I'll make the first to answer with equation get brainlyest​

Answers

The temperature in Buffalo, New York, was -2 °F one day. This was 42 degrees warmer than the temperature in Nome, Alaska, on the same day. Find the temperature in Nome. Justify your answer by writing and solving an equation

Answer:

40

Step-by-step explanation:

The legs of a right triangle measure 7 and x. The
hypotenuse measures 25. Determine the value x

Answers

Hi

According to Pythagoras :

The square of hypotenuse is the sum if the square if the two other side

so : 7^2 + X^2 = 25^2

49 + X^2 = 625

X^2 = 625-49

X^2 = 576

this equation as two roots . As a triangle cannot have a negative side value, I will only take positive value

so X = V576 =24

Jason has eaten 45 chocolates in 5 days. Each days, he ate 2 chocolates more than the previous day. How many chocolates did he ate on the first day?

Answers

Answer:5

Step-by-step explanation:

On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...

I need to solve this, showing work would be appreciated!

Answers

Answer:

e) cannot be determined

Step-by-step explanation:

there is no way you can find out angle 2 if there is no angle 1 first

hope this helps!

A copy machine makes 36 copies per minute How many copies does it make in 3 minutes and 45 seconds

Answers

Step-by-step explanation:

Hope it is helpful.

Thank you.

How do I solve these plz I need help ☺️

Answers

Answer:

i have never learned it when i will i will tell

In an interview for a secretary position at the dealer, a typist claims a tying speed of 45 words per minute. On
On the basis of 70 trials, she demonstrated an average speed of 43 words per minute with a standard deviation of 15 words per minute.
Test at 5% significance level on the typist’s claim.

Answers

Using the hypothesis test for one sample mean, There is NO SIGNIFICANT EVIDENCE to support the typist's claim

[tex]H_{0} = 45\\H_{1} < 45\\\\[/tex]

The test statistic :

T = (x - μ) ÷ (s/√(n))

T = (43 - 45) ÷ (15/√70)

T = - 2 ÷ 1.7928429

T = -1.12

At α = 0.05

Pvalue :

Degree of freedom, df = 70 - 1 = 69

Pvalue = 0.1333

Decision region :

Reject [tex]H_{0}[/tex] if Pvalue < α

0.1333 > 0.05

Since Pvalue > α We fail to reject the Null

Learn more on hypothesis testing: https://brainly.com/question/20262540

Help me with this question. Question linked

Answers

Answer:

The value of B is 5.

As you can see, the graph f(x) is shifted down 4 units.

And, the graph g(x) is shifted up 5 units.

the "b" value represents the number of unit a graph/function is shifted up or down.

Let me know if this helps!

The value of b to your question is 5

correct gets brainliest!
find an expression that can be added to the expression 3x + 2 to give 5x + 3.​

Answers

Answer:

2x+1

Step-by-step explanation:

The expression = (5x+3)-(3x+2) = 2x+1

(5.5 X10^6 + 6.3 X10^6)2

Answers

Answer:

(5.5×10⁶+6.3×10⁶)×2

= (5.5+6.3)×10⁶×2

= 11.8×10⁶×2

= 23,600,000

Find the quotient of 90 over -10

Answers

90/-10

= 9/-1

= -9

So, -9 is the quotient.

Hi! The answer is -9 because 90/-10 = -9
I hope this helps you, Goodluck! :)

Kate has a bag that contains 7 blue, 5 purple,
12 red, and 6 orange marbles. What is the
probability of not choosing a blue or purple?

Answers

Answer:

3/5 or 60%

Step-by-step explanation:

7 blue, 5 purple,12 red, and 6 orange marbles = 30 marbles

P( not blue or purple) = red or orange/ total

                                    = (12+6)/30

                                     =18/30

                                    =3/5

∫∫x²(y-x)dxdy ,d là miền giới hạn bởi các đường y=x² và x=y²

Answers

It looks like the integral is

[tex]\displaystyle \iint_D x^2 (y-x) \,\mathrm dx\,\mathrm dy[/tex]

where D is the set

D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}

So we have

[tex]\displaystyle \iint_D x^2(y-x)\,\mathrm dx\,\mathrm dy = \int_0^1 \int_{x^2}^{\sqrt x} x^2(y-x)\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \left(\frac{x^2y^2}2-x^3y\right)\bigg|_{y=x^2}^{y=\sqrt x} \\\\ = \int_0^1 \left(\frac{x^3}2-x^{7/2}+x^5-\frac{x^6}2\right)\,\mathrm dx \\\\ = \left(\frac{x^4}8 - \frac{2x^{9/2}}9 + \frac{x^6}6 - \frac{x^7}{14}\right)\bigg|_{x=0}^{x=1} = \frac18-\frac29+\frac16-\frac1{14} = \boxed{-\frac{1}{504}}[/tex]

ly which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number
62,045?

Answers

Answer:b

Step-by-step explanation:

Answer:

it is not B!!!. It is D (640,488)

pls help! I need the answer fast!

Answers

Answer:

B is the answer

Step-by-step explanation:

hope it helps

IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9.

Answers

Answer:

see explanation

Step-by-step explanation:

The relationship between D and G is

90D = 100G

that is there are 100 grades in 90°

Given any angle in degrees (D)

Divide by 90 to find how many right angles

Then multiply by 100 to convert to grades , so

G = [tex]\frac{D}{90}[/tex] × 100 = [tex]\frac{10}{9}[/tex] D ( multiply both sides by 9 to clear the fraction )

9G = 10D ( divide both sides by 10 )

[tex]\frac{9G}{10}[/tex] = D ( divide both sides by 9 )

[tex]\frac{G}{10}[/tex] = [tex]\frac{D}{9}[/tex]

look at the image below

Answers

The answer should be 3619.1km³

Answer:

Does the answer help you?

what is 88.92 x 21.33

Answers

Answer:

By multiplying 88.92 from 21.33 we get 1896.6636.

Hope it's helpful

Answer:

1896.6636

Step-by-step explanation:

Hope this helps

which of the following equations is a linear equation in one variable?

A. 5x-3=4(x+y)
B. 2a+5b-c=2
C. 3m=8
D. x=2/y+5

Answers

Answer:

Option C, 3m=8

Step-by-step explanation:

In the equation,

3m=8

or, 3m-8=0

there is only one variable which is m and it's in the form of ax+b=0

so it's an one variable linear equation

Can someone please help solve this equation thank you

Answers

Answer:

A and B

Step-by-step explanation:

Both points are in the shaded/blue zone

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Yea both A and B are correct.

Step-by-step explanation:

if you can see you can put (-12,0) inside the shaded triangle also for (-10,1)

you can give brainlist to the person above :D

y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch

Answers

I think it's (2,0).

Because u use the slope of line AB to go down from point C until one of the answers are met.

The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.

Slope of AB = -(3/6)

Slope of AB = -1/2

Slope of from point (2, 0) to point C(-2, 2):

Slope = (2 - 0)/(-2 - 2) = 2/-4

Slope = -1/2

Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Learn more about slope of parallel lines on:

https://brainly.com/question/10790818

Subsets and Sets HELP
Attached is the photo reference

Answers

Answer:

(a) (C U D) = {k, m, y, z}

(b) C ∩ D = {z}

The rationalisation factor of 2 + √3 is

step by step for BRAINLIST ​

Answers

Answer:

rationalising factor wud be

2 - root3

as on multiying both and applying identity we end up

2^2 - (root3)^2

4 - 3 = 1

we got a rational number so rationalisng factor is

2 - root3

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