Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.

Answers

Answer 1

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2


Related Questions

Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?

Answers

Answer: 6%

Step-by-step explanation:

Principal= $1875

Time= 10 years

Interest= $1125

Rate = Unknown

Recall that,

Interest= (Principal×Rate×Time)/100

I = PRT/100

100I = PRT

R= (100×I)/PT

Rate = (100 × 1125)/(1875 × 10)

Rate = 112500/18750

Rate= 6%

The rate is 6%

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false

Answers

Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Answers

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

log x + Log(x+5) = log 6

Answers

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat

Answers

Answer:

Each parrot Bird ate 1/8 of a bag

Step-by-step explanation:

Here, we are interested in calculating the portion of the bag eaten by each of the pet birds

Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag

Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag

The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=

Answers

Answer:

[tex]x=\dfrac{325}{c-7}[/tex]

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

[tex]c=\dfrac{7x+325}{x}[/tex]

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

[tex]x=\dfrac{325}{c-7}[/tex]

Therefore, the number of t-shirts, x in terms of the average cost, c is:

[tex]x=\dfrac{325}{c-7}[/tex]

Factor the trinomial
The factors of m^2+12m+35 are ____ and ____

Answers

Factor:

(m+5)(m+7)

Solve for the numbers inside, set it = to 0:

m+5=0 >solve
m=-5

m+7=0>solve
m=-7

!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths​

Answers

Answer:

1/4

That would be the answer because 6/8 minus 2/4 would equal 1/4

Subtract six eighths minus two fourths is the same as 6/8 - 2/4.

Find common denominators.

6/8

2/4 = 4/8

Subtract.

6/8 - 4/8

2/8

Simplify.

2/8 = 1/4

Therefore, the answer is 1/4

Best of Luck!

If 0.75A = 36, what would you do to solve
for A?

Answers

Answer:

you divide 36 by 0.75

Step-by-step explanation:

Answer:

Divide 36/.75

Step-by-step explanation:

You need to isolate A in order to solve the equation.

Find the area of the shape shown below.
3.5,2,2,2,2,5

Answers

Answer:

26.75

Step-by-step explanation:

It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75

Answer:

26.75

Step-by-step explanation:

got it off khan

please help will mark brainly

Answers

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer

Answers

Answer:

90

Step-by-step explanation:

When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mm

solve 2x + 26=2 [5-3x]

Answers

Step-by-step explanation:

2x+26=2(5-3x)

2x+26=10-6x

combination of like terms

2x+6x=10-26

8x= -16

x= -16/8

x= -2

The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?

Answers

The answer is Gonna was a great game and it is so far

A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?

Answers

Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence

Step-by-step explanation:

A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?

Answers

Answer:

4

Step-by-step explanation:

4,12

1,3

4/12=4

12/3=4

The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.

Explain about the Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.

= 4,12

= 1,3

= 4/12 =4

= 12/3 =4

To learn more about Dilation refer to:

https://brainly.com/question/3457976

#SPJ2

Write the equation of a line that passes through the point (6,-3) and has a slope of -2

A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2

Answers

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Answers

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

What is cumulative frequency

Answers

Explanation:

Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.

Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)

Answers

Answer:

1880

Step-by-step explanation:


what’s the answer for this

Answers

Answer:

63 yd²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 9, thus

A = 7 × 9 = 63 yd²

Do 1,2 for 5-8 points.

Answers

Answer:

15 +16 +17

21+23+25

Step-by-step explanation:

Solve for ttt. 2(t+1) = 10

Answers

Answer:

I hope this helps you. Have a great rest of your day!

The required, solution to the equation 2(t+1) = 10 is t = 4.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Expanding the left side of the equation, we get,

2t + 2 = 10

Subtracting 2 from both sides, we get,

2t = 8

Dividing both sides by 2, we get,

t = 4

Therefore, the solution to the equation 2(t+1) = 10 is t = 4.

Learn more about simplification here:

https://brainly.com/question/12501526

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The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket

Answers

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

someone please answer this for me! it’s timed

Answers

Answer:

151 degrees

Step-by-step explanation:180 - 29=151


x + 2y = 13
-x + y = 5

Answers

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

Find the surface area of the prism. Write your answer as a decimal.

Answers

Answer:

382.5 in²

Step-by-step explanation:

2 triangles + 3 lateral sides

2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)

90 + 90 + 81 + 121.5

382.5 in²

Answer:

[tex]382.5 {in}^{3} [/tex]

Step-by-step explanation:

hope this helps

Helpp plsss!!!! I've to submit ASAP

Answers

i don’t rly remember surface area i’m sorry i couldn’t help
The answer to 6. Is the height is 8.5

Find the area? Please help

Answers

Answer:

6.285

Step-by-step explanation:

π·22≈12.56637 divided by 2 (half) is 6.285

Answer:

12.56 units squared

Step-by-step explanation:

find the area of the whole circle:

formula for this is: pi multiplied by the radius which is squared.

The math for this is Below

3.14 x 2 squared

2 squared is 4

so 4 times 3.14 which is 12.56

1. Remember, evaluate means to plug in the value for the specified
variable.
w
Evaluate: (x - 3)2 + 2x - 4 for x = 5

Answers

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

2(5 - 3) + 2(5) - 4

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

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