cosy/1-siny = 1+siny/cosy
varify using trig identity.

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]

On the left, we can multiply both layers by (1 + sin(y)):

[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]

Multiply:

[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]

From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:

[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]

Cancel:

[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]

Hence proven.


Related Questions

raja bought 500 hens among them 75 were died by cold . he sold the remaining hens at the rate of rs 120 per hen and made a profit of 2% find the total CP of hens?plz guys help me tomorrow is my exam and it is fix question. so give me answer as soon as possible​

Answers

CP hens remianing = 5000

Match each expression with its sum or difference

Answers

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Tao uses elimination to solve the following system of linear equations.

Answers

Given:

The system of equation is:

[tex]-2x+4y=16[/tex]

[tex]2x+2y=8[/tex]

To find:

The solution of the given system of equations.

Solution:

We have,

[tex]-2x+4y=16[/tex]              ...(i)

[tex]2x+2y=8[/tex]                ...(ii)

Add (i) and (ii) to eliminate the variable x.

[tex]6y=24[/tex]

[tex]y=\dfrac{24}{6}[/tex]

[tex]y=4[/tex]

Putting [tex]y=4[/tex] in (ii), we get

[tex]2x+2(4)=8[/tex]

[tex]2x+8=8[/tex]

[tex]2x=8-8[/tex]

[tex]2x=0[/tex]

Divide both sides by 2.

[tex]x=0[/tex]

Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.

Answer:

(0,4) or A

Step-by-step explanation:

Edge 2021

The sum of two rational numbers will always be
O an irrational number.
an integer
a rational number
a whole number.

Answers

Step-by-step explanation:

The sum of two rational numbers will always be a rational number.

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

30 pts 5 stars thanks and brainliest please- this question is really hard...

Answers

Answer:

From least to greatest

C

B

A

Step-by-step explanation:

Function A is the only one with a positive y-intercept

so it's the greatest

Function B has a y-intercept of -1 as read of the graph

it is the middle one

Function C has a y-intercept of -9/4 as given in point (0, -9/4)

this is the least

-----------------

From least to greatest

C

B

A

−n+(−4)−(−4n)+6 find equivalent expressions PLZ

Answers

Answer:

3n+2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Combine like terms

−n−(−4n)+6+(−4)

A negative negative is like adding

−n+(4n)+6+(-4)

3n+2

The answer to your question is 3n+2

3
33%
A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
ws
a) Write down the probability that one of these five numbers is 3
(1)
b) Work out the least possible sum of the five numbers.
(2)

Answers

Answer:

a) 5/6 probability that one of the five numbers is 3

b) the least possible sum of the five numbers will be 15

as the least will come from the lowest 5 numbers

you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p be number of pants. Write an inequality that represents the numbers of shirts and pants you can afford. DO NOT INCLUDE THE DOLLAR SIGN IN YOU INEQUALITY. An inequality is______

Answers

is this an algebra class? if so it just

11.50x + 16y = 20.25

1⁄2 × 1⁄5 = ....whats this answer

Answers

Answer:

0.1

Step-by-step explanation:

Answer:

√2 = 1.41

√5 = 2.23

SO IF YOU MULTIPLY SEE

3.1622776601683793319988935444327

Step-by-step explanation:

Solve for. . Write your answer as “x=__”

Answers

Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

A particle is moving with acceleration a ( t ) = 18 t + 16 . Its position at time t = 0 is s ( 0 ) = 10 and its velocity at time t = 0 is v ( 0 ) = 16 . What is its position at time t = 8 ?

Answers

Answer:

[tex]s(8)=2186[/tex]

Step-by-step explanation:

A particle is moving with acceleration modeled by the function:

[tex]a(t)=18t+16[/tex]

We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.

And we want to find its position at t = 8.

Velocity is the integral of the acceleration. Hence:

[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]

Find the velocity. Remember the constant of integration!

[tex]v(t)=9t^2+16t+C[/tex]

Since v(t) is 16 when t = 0:

[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]

Hence, our velocity is given by:

[tex]v(t)=9t^2+16t+16[/tex]

Position is the integral of the velocity. Hence:

[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]

Integrate:

[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]

s(t) is 10 when t = 10. Hence:

[tex]C=10[/tex]

So, our position function is:

[tex]s(t)=3t^3+8t^2+16t+10[/tex]

The position at t = 8 will be:

[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]

any method that uses formulas, figures, or proportions to measure an object Is a(n) ______?

Answers

Answer:

Indirect measurement

Step-by-step explanation:

answer both correctly for brainliest

Answers

2. B 60 meters

3. C. 10yd

Refer to the attachment for complete calculation

Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th

Answers

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

??!?!?!?!?!!?!?!?!!?!!!?!!!!?

Answers

Answer:

The third option, a rational number

like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)

it would be 0.2 + 2.5 = 2.7 btw

or

1/5 + 5/2

= 2/10 + 25/10

= 27/10

Does anyone know the answer to this one as well?

Answers

Answer:

i think its 8000 and the 3rd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

What this proves is that teachers shouldn't assume that people can figure out how the calculator displays things. Time should be taken so you'd know the answer from class.

The two answers you want are the second one form the bottom and the third  one from the top.

The third one from the top is 8*10^3

10^3 = 10 * 10 * 10 = 1000

8 * 10^3 = 8 * 10 * 10 * 10 = 8000

8000 is the answer written as a number.

All three are the same thing 8E3 means 8 * 10^3 = 8000

Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?

Answers

Answer:

i think isA

Step-by-step explanation:


Need help finding the cost! ASAP!

Answers

Answer:

Apple Cost: $1.10

Orange Cost: $1.05

Three oranges and two apples cost: $5.35

Step-by-step explanation:

answer:
first one: 1.10$
second one: 1.05$
total: 5.35$

What number makes the expression a perfect square? X squared -12x +

Answers

Answer:

36

Step-by-step explanation:

x²-12x+36 = (x-6)(x-6)

2 of 8
Given that y = 8 cm and 0 = 44", work out a rounded to 1 DP.
Oo
The diagram is not drawn accurately.
2=
cm
PLEASE HELP

Answers

Answer:

x ≈ 5.6 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )

8 × sin44° = x , then

x ≈ 5.6 cm ( to 1 dec. place )

IMA In a certain Algebra 2 class of 23 students, 7 of them play basketball and 12 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball​

Answers

Answer:

19/28 or about 68%

Step-by-step explanation:

7 + 12 + 9 = 28

7 + 12/28

19/28

Which choice is equivalent to the product below when x is greater than 0?

Answers

I think that's ur answer

Help ASAP !!!

What is the angle of 1

Answers

Answer:

100°

Step-by-step explanation:

m L 1 = (180-100) + 20 = 80+20 = 100°

Find m∠1 and m∠2. Tell which theorem can be used.

Answers

Answer:

1 = 117 ( vertically opposite angles are equal )

2 = 117 ( corresponding angles are always equal )

Step-by-step explanation:

Answer:

angle one=122 because it is using the alternate interior angle theorem

angle 2=58 because it is using the consecutive interior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58

since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle

-4.3 + x equals 0 selected place on the number line to positive value of x​

Answers

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

Kendra spent ⅓ of her allowance on a book and ⅖ on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?

Answers

Answer: 15$

Step-by-step explanation:

Given

Kendra spent one-third of allowance on a book and two-fifth on snack.

If she had four dollar remaining after purchase

Suppose x is the original amount

[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

Thus, 15$ was her total allowance.

857,963 five has a value of​

Answers

Answer: 5 has a value of 50 000 2.

4,289,815

Hope this helps ;)

Can someone help me with this, pleasee.

Answers

Answer:

120°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for third angle

third angle = 180° - (20 + 40)° = 180° - 60° = 120°

18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?

Answers

Answer:

The correct answer us 9/15<4/4

Can I please have a brainliest? I want to rank up :)

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