Simplify sin^2y/sec^2 y−1 to a single trigonometric function

Answers

Answer 1

Answer:

[tex] \frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y[/tex]

Step-by-step explanation:

We know that [tex] { \tan }^{2} y = { \sec }^{2} y - 1[/tex]

Also , [tex] { \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y } [/tex]

So ,

[tex] \frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y[/tex]


Related Questions

Mr Parsad places £1007 into a
savings account and gains 8%
interest per annum. How much
money is in the account after 9
year?

Answers

Answer:

$ 1,732.04

Step-by-step explanation:

A = $1,732.04

I = A - P = $725.04

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1007(1 + (0.08 × 9)) = 1732.04

A = $1,732.04

The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.

Which is the correct formula to find the area of triangle AED? A B D E C area of triangle AED 1 • CDAE 2 area of triangle AED = AE - DE 2 area of triangle AED 1 2 • CE - AE area of triangle AED = AE - AE Reset Next​

Answers

Answer:

option b.

area of triangleAED=1/2×AE×DE

Is x = –4 a valid solution this linear equation?
2x + 9(x – 1) = 8(2x + 2) – 5​

Answers

Answer:

Yes it is!

Step-by-step explanation:

All you have to do is plug in -4 in place of all the x’s. You should get

-8x - 36 - 9 = -64x + 16 - 5

Simplified: -8x - 45 = -64x + 11

+45. + 45

-8x = -64x + 56

+64 +64

56 = 56

Answer = True

So yes -4 is a correct solution!

2x + 9(x-1)=8(2x + 2) - 5
2x +9x -9 = 16x + 11
11x - 9 = 16x + 11
11x = 16x + 20
-5x = 20
x = -4

Yes!

Solve for h.
what is h equal to?​

Answers

Answer:

the last one

Step-by-step explanation:

.................

The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs

Answers

Answer:

5

Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)

Cats : dogs
5 : 7
You add both up which is = 12
So 60 in total and you divide by 12
60 divide 12= 5
5 x5 = 25 cats
7x5= 35 dogs

The temperature was 2 degrees Celsius and fell to -12 degrees Celsius. What was the change in temperature?

Answers

-10 degrees celcius.

Answer:10

Step-by-step explanation:

-12-2

Dan makes several smoothies using 345 cups blueberries for every 223 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 513 cups of strawberries?

Answers

Answer:

2  2/3

Step-by-step explanation:

Help me I'm not good at this ;-;​

Answers

Answer:

1. TRUE

2.FALSE

3.FALSE

4.FALSE

5.TRUE

Step-by-step explanation:

Can y’all help me with this plz

Answers

the first one is cost of jam $4, cost of soup $7

Translate the following words into an expression:

A number plus 17

Hint: select ALL that apply.


A. x + 17

B. x - 17

C. 17 + x

D. 17x

Answers

A, x represents the number, the add 17 :)

the ordered pair (1,-3) is a solution of the system

Answers

Answer:

False

Step-by-step explanation:

Find the solution of:

2x + 3y = -7 --› eqn. 1

-x = 2y --› eqn. 2

Rewrite equation 2

-x = 2y --› eqn. 2

Divide both sides by -1

x = -2y

Substitute x = -2y in equation 1.

2x + 3y = -7 --› eqn. 1

2(-2y) + 3y = -7

-4y + 3y = -7

-y = -7

Divide both sides by -1

y = 7

If y = 7, then (1, -3) cannot be the solution of the system of equations.



solve the system of equations using the linear combination method ​

Answers

Answer:

60 is all of the answer together

Hi, can anyone help me. Please!

Answers

Answer:

its D

Step-by-step explanation:

D is the right answer!
I just used the numbers where the minute gets to 4, you divide then subtract.

what’s the area of the triangle

Answers

Answer:

12

Step-by-step explanation:

because the base is 4 and the height is 6

Answer:

Step-by-step explanation:

Formula of area of triangle = 1/2(b*h)

1/2(4*6)

1/2*24

12 units square

On one shelf of the school library 1/2 of the books are about sports. Joyce sees that 3/4 of the sports books are about basketball. What fraction of the books on the shelf are about basketball

Answers

The fraction of books on the shelf that are about basketball is [tex]\frac{3}{8}[/tex].

We know that half of the books on the shelf are about sports, so if we let "x" represent the total number of books, the number of sports books would be [tex](\frac{1}{2})x[/tex].

Next, Joyce observes that [tex]\frac{3}{4}[/tex] of the sports books are about basketball.

To find the fraction of books about basketball, we need to multiply the fraction of sports books by the fraction of basketball books within that category.

Therefore, we have:

[tex](\frac{3}{4}) \times(\frac{1}{2} )x =(\frac{3}{8} )x[/tex]

So, the fraction of books on the shelf that are about basketball is [tex]\frac{3}{8}[/tex].

For such more questions on fraction

https://brainly.com/question/30225892

#SPJ8

To buy a car, Mitchell borrowed $17,000 at an annual (yearly) simple interest rate of 9%. During his first year of this loan, he will owe the bank $1530 in interest.

Answers

Answer: True

Step-by-step explanation:

(1) 100% - 9% = 91% = .91

(2) .91 x 17,000 = 15470

(3) 17,000 - 15,470 = 1'530

help with my homework the question is my divisor is 9 am greater than 7 x 9 l am less than 8 x 9 what dividend am I

Answers

Answer:

70

Step-by-step explanation:

7*9+7 = 63+7 = 70

Triangle with exactly
2 equal sides

Answers

It’s an isosceles. Two sides are the same and the two angles are the same

Hey there!

ALL triangles has 3 sides. (Top and the two corners)

The only try that has the sides that are equal to each other is, the isosceles triangle ; the isosceles triangle is equal to 180°

Answer: ISOSCELES TRIANGLE ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Here’s an example SIDE A is EQUIVALENT (EQUAL) to SIDE B

Pls anserw I need help

Answers

Answer:

2.7

Step-by-step explanation:

0.5+1.2+1= 2.7

Use the original price and the markdown to find the retail price. Original price: $145; Markdown: 36% The retail price is $​

Answers

Answer:

36% in decimal form is .36 .36x145=$52.20 new price

Step-by-step explanation:

You're in 6th grade?

six less than a number

Answers

Answer:

Y E S

Step-by-step explanation:

rickrolled

X - 6



I need 20 characters to post this

if EF=13 and DF=18, find EH

Answers

Answer: Is there a Picture?

Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjunction, disjunction, conditional, biconditional, negation).

a. The sum of the first 100 odd positive integers.
b. Everybody needs somebody sometime.
c. The Broncos will win the Super Bowl or I'll eat my hat.
d. We can have donuts for dinner, but only if it rains.
e. Every natural number greater than 1 is either prime or composite.
f. This sentence is false.

Answers

Answer:

a. The sum of the first 100 odd positive integers - Not a statement

b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

Atomic statements: These are statements that cannot be split into mini statements.Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation

13/19 as a decimal rounded to the nearest hundredth.

Answers

Answer:

0.68

Step-by-step explanation:

13/19 = 0.6842

0.6842 rounded to the nearest hundredth is 0.68.

I hope this helps!

Answer:

0.68

Step-by-step explanation:

i think

Jackson wants to buy a new video game console. He has saved $50 and
earns $20 per lawn that he mows. Which of the following equations can be
used to determine the number of lawns Jackson needs to mow, m, in order to
buy the video game console, which costs, c, dollars?
0
m
1 ={c+50
C = 50m + 20
m =
- c + 50
C = 20m + 50
CLEAR ALL

Answers

Answer:

C=20+50

Step-by-step explanation:

logistics

An asymptote is a line that the graph of a function
A. divides
B. equals
C. approaches but does not cross
D. defines
E. approaches and crosses

Answers

Answer
C. Approaches but does not cross

Poppy bought a new bed for $142. The tax is 7%. How much did she spend in taxes only?

Answers

Answer:

9.94

Step-by-step explanation:

Convert 7% into decimal form, 0.07 because it is 7% of 100. Then multiply 0.07 with 142 to find 7% of 142.

Answer:

$9.94

Step-by-step explanation:

The net price is $142 and the sales tax (7%) is $9.94. The total price would be $151.94.

This dessert has 75 calories for every 2 ounces. How many calories are in 8 ounces?

Answers

Answer:

300 Calories

Step-by-step explanation:

75/2=37.5/1 Divide to fine the unit rate Dessert has 37.5 calories In 1 ounce 37.5 calories x 8 ounces = 300 calories

The answer would be 300 calories

Each month, a phone company charges $30 talk time plus $0.50 for each additional minute.
Write an expression to show the cost of a plan for one month???

Answers

Answer:

Step-by-step explanation: If 1 minutes of talk = 30 and texting = 30

and each additional minute of talk = 0.50

 

then the bill would be (for C = total cost)

 

C = 20+30+(0.45 • x)

 

OR

 

C = 50 + 0.45x

Answer:

30+.50m=c

Step-by-step explanation:

30 is the initial cost. Since its initial it is only a one time fee.

.50 is the cost per minute, since it says per you can automatically assume that it will be more than once.

M represents the minutes that they spend on the call, so if there was a 10 minute call, instead of m you would put 10, 10×.50.

But since there is no given time we have to put a variable, m, as a replacement.

The c is the variable for the cost.

I hope I helped you! Have a great day! :3

Look at Jerrys monthly budget below. What percentage of Jerrys net income is spent on transportation?

Net Monthly Income: 2,970.00

Housing: $750.00
Utilities: $120.00
Food: $450.00
Transportation: $650.00
Savings: $300.00
Other Expenses: $500.00

Total Monthly Expenses: 2,970.00

A. 28%
B. 25.3%
C. 86.7%
D. 21.9%

Answers

Answer:

D. 21.9%

Step-by-step explanation:

(650÷2970)x100= 21.88% rounded off 21.9%

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