Write f(x) in terms of sin(x) and cos(x).

Write F(x) In Terms Of Sin(x) And Cos(x).

Answers

Answer 1

Answer:

f(x) = cos(x)

Step-by-step explanation:

Given the expression

[tex]tan(x)csc(c) = \frac{1}{f(x)}[/tex]

Recall that;

[tex]tan(x) = \frac{sin(x)}{cos(x)} \\csc(x) = \frac{1}{sin(x)} \\[/tex]

Substitute into the given expression

[tex]tan(x)csc(c) = \frac{1}{f(x)}\\\frac{sin(x)}{cos(x)} \frac{1}{sin(x)} = \frac{1}{f(x)}\\\frac{1}{cos(x)} = \frac{1}{f(x)}[/tex]

Cross multiply

[tex]cos(x) = f(x)\\Swap\\f(x) = cos(x)[/tex]


Related Questions

Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?

Answers

Firstly, solve 38C15.

Then solve 42C12.

Compare your answers.

The goal here is to see if 38C15 = 42C12.

Here is the formula:

nCr = n!/(r!(n - r)!

Go for it.

Please help meeeeeeeee

Answers

Answer:

Step-by-step explanation:

Find the logarithmic model.
Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal places.

Answers

The logarithm model is y=7+89

The graph shows a linear relationship between x and y. Based on the graph, what is the value of x when the value of y is 10? Will give brainlest​ (❁´◡`❁)

Answers

Answer:

Step-by-step explanation:

This graph shows a linear relationship between x and y. 5 4 3 N 1 -5 -4 -3 -2 1 -1 1 2 3 4 5 x -2 -31 -4 -5 Based on the graph when the value of y is 10 the value of x is ...

PLEASE HELP ASAP DONT USE A LINK THOSE NEVER WORK I HAVE A TIME LIMIT​

Answers

Answer:

107 degrees

Step-by-step explanation:

First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.

Then, add 45 to 28, which equals to 73 degrees.

Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.

Answer:

107

Step-by-step explanation:

HELP! please i would do it
but the conjunctions are the same

Answers

Answer: 3. either/or

Step-by-step explanation:

Answer:

1. neither/nor

2. not only/but also

3. either/or

4. not only/but also

5. neither/nor

Step-by-step explanation:

1. Often when someone first moves somewhere, they are not familiar with the language. I think both/and also works, because she may have prepared for the move, but more likely it's neither/nor.

2. You have it correct.

3. They can only pick one, so "both/and" doesn't apply.

4. You have it correct.

5. Parents do not like when their kids argue :). Neither my mother nor my father likes it when I argue with my little sister.

If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if necessary.​

Answers

Answer:

12.60 inches

Step-by-step explanation:

Divide 5.08 by 2 to get 2.54. This means that for every 1 inch, there is 2.54 centimeter. Using this rule, we divide 32 by 2.54 to get 12.598 inches, or 12.60 if we round to the nearest hundredth.

Find the area of the composite figure.
4 ft
6 ft
6 ft
9 ft
9 ft
18 ft
Area
feet squared

Answers

Answer:

174 feet squared

Step-by-step explanation:

The figure is composed of a rectangle and a right triangle

Therefore,

Area of the composite figure = area of the rectangle + area of the right triangle

= (L*W) + (½*b*h)

L = 18 ft

W = 9 ft

b = 18 - (6 + 6) = 6 ft

h = 4 ft

Plug in the values into the equation

Area of the composite figure = (18*9) + (½*6*4)

= 162 + 12

= 174 ft²

Use what you learned to show where the following points would
be after the given reflections:
PRE-IMAGE
REFLECTION
OVER X-AXIS
REFELCTION
OVER Y-AXIS
A(6,8)
B(-5,1)
C(10,-9)
D(-4,-11)
E(7,12)

PLEASE HELP ME THIS IS DUE TONIGHT!!!!

Answers

Answer:

ok try it now.

Step-by-step explanation:

Pls answer this fast will give brainliest

Answers

Answer:

12

Step-by-step explanation:

4 options per sandwich, 4 times 3 =12

Answer:

12

Step-by-step explanation:

[tex]n_{C} r = \frac{n!}{(n-r)!(r!)} \\\\[/tex]

n is the number of choices

r is the number of Selections we can make

For Sandwiches:

3 Choices w/ 1 Selections

[tex]n = 3\\r = 1\\[/tex]

[tex]n_{C} r = \frac{3!}{(3-1)!(1!)} = 3[/tex]

For Veg.:

2 Choices w/ 1 Selections

[tex]n = 2\\r = 1\\[/tex]

[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]

For Dessert.:

2 Choices w/ 1 Selections

[tex]n = 2\\r = 1\\[/tex]

[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]

Multiply All Combinations ∴

[tex]3 * 2 * 2 = 12[/tex]

PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)

Answers

Answer: B

Step-by-step explanation:

The answer is B

Simply modules denotes the absolute value of a number.

I hoped this helped!+*♡

A family spends 20% of its income on mortgage repayments of RM 800 per month, Calculate the monthly income of the family.​

Answers

Answer:

monthly income of 4,000

Step-by-step explanation:

monthly income=m

.20m=800

m=4,000

What is 10 rounded to the nearest whole number?

a. 2244
b. 3205
c. 3846
d. none of the above

Answers

Answer:

d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

10 is already a whole number and does not need to be rounded

The students at Fitzgerald High School are building the shape below to put on their school. What is t total area of the shape in square units? 4 units 1 unit 10 units 1 unit 3 units 1 unit​

Answers

Answer:

Someone would need to see the units and the picture that would be attached to this question.

Step-by-step explanation:

What answer shows 3.28 rounded to the nearest half?

Answers

Answer:

3.5                                                                    

Step-by-step explanation:

Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters

Answers

Answer:

i

Step-by-step explanation:

dont know

The diameter of a circle is 38 meters. What is the circle's area?
D=38m

Answers

Answer:

Diameter- 60.42^2

Plz no links just give the answer and how you got it plsss. A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi

Answers

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

a = pi * r ^ 2

d = 2 * r

r = d / 2

r = 96/2

r = 48

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

r = 88/2

r = 44

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

The short side of a parallelogram is 6in long.
the long side is 19 in. What is the perimeter
of the parallelogram?

Answers

Answer:

20

Step-by-step explanation:

What is the Domain of the function y=sin(x)
A (-♾,♾)
B 2x
C[-1,1]
D[0,♾)

Answers

the domain of function y = sin (x) is : -

=》A (-♾,♾)

What is the missing number?

Answers

Answer:

Missing number is 8

Step-by-step explanation:


I haven’t learned this yet

An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, one-third are cats. Three-fourths of the remaining animals are dogs. How many of the animals are rabbits?

Answers

Answer:

21

Step-by-step explanation:

126/3=42

126-42=84

84/4=21

63 are dogs

42 are cats

and 21 are rabbits

A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b>0, and b # 1

A: exponential growth
B: exponential decay
C: exponential function​

Answers

Answer:

C

Step-by-step explanation:

C, the answer is exponential function

Of 56 tuna sandwiches sold, 18 were sold on Friday
Write 18 as a percentage of 56
Give your answer correct to the nearest whole number

Answers

Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

 

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

Here are the results of the survey the environmental club conducted.

0, 0, 5, 1, 2, 2, 0, 1, 0, 3, 0, 1, 0, 2, 3, 4, 1, 1, 0, 1, 2, 0, 3, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 5, 2, 0, 1


The median of the data is
A hour(s) per week.

Answers

The median of the data below is 1

if k is the center of the circle which line segment is the radius

Answers

Half of whatever k is

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: x=2, y=5

Explanation in image below

Step-by-step explanation:

5+3x=11
3x=6
x=2

y=5

So the answer is B

The factorisation of y2-7y+12 is

+100points and brainliest

Answers

(y-4) (y-3)
you look at 12 and see what two factors of 12 add up to -7 and -4 times -3 is 12 and -4+-3 = -7
Ans= (y-3)(y-4).

Consider the form
x
2
+
b
x
+
c
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
c
and whose sum is
b
b
. In this case, whose product is
12
12
and whose sum is

7
-
7
.

4
,

3


10. Richard made $7840 in interest after seven years at a 7% simple interest rate. How much money did Richard initially deposit, to the nearest dollar?
11. If a home loan of $240,000 was paid off in 30 years and the homeowners ended up paying a total of $528,000 total. If the loan and simple interest what is the percentage rate that was used on a home loan?
12. if you wanted to earn $845 and simple interest on a 60 month loan of $1000 what rate would you need?

Answers

9514 1404 393

Answer:

  10. $16,000

  11. 4%

  12. 16.9%

Step-by-step explanation:

10. The amount of the loan plus interest is given by the formula ...

  I = Prt

  P = I/(rt) = $7840/(0.07×7) = $16,000

Richard initially deposited $16,000.

__

11. The total of principal plus interest is ...

  A = P(1 +rt)

Solving for r gives ...

  r = (A -P)/(Pt) = (528000 -240000)/(240000×30) = 0.04 = 4%

The percentage rate used was 4%.

__

12. The interest formula is ...

  I = Prt

Solving for r gives ...

  r = I/(Pt) = $845/($1000×5) . . . . . . 60 months = 5 years

  r = 0.169 = 16.9%

To earn $845 in interest, you would need a rate of 16.9%.

what property is this 4(2x−3)=4(2x)−4(3)

Answers

Answer:

this is 4(2x−3)=4(2x)−4(3)distributive property

Answer:

The Distributive Property

Step-by-step explanation:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.

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Hope I Helped, Have A Great Day!

                    -Aadi

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