Find tan(13pi/4)-cos(pi/3)

Answers

Answer 1

Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Step-by-step explanation:

To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.

[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.

[tex]\frac{-0.5}{-0.5} =1[/tex]

Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].

[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Now that we know the values of both, we can directly subtract them.

1-0.5=0.5

Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].


Related Questions

x = |y| a function?

Answers

Answer:

yes

Step-by-step explanation:

it is a function. it i think is a linear function

A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?​

Answers

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

s=gr-5gc³, solve for g

Answers

Answer:

g=r/1+5c3

Step-by-step explanation:

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

How many ounces (oz) are 1 pound (lb)

Answers

the answer is 16 ounces

Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b

Answers

Answer:

I need the to solve dis question

Answer: y=7x+5

Step-by-step explanation:

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?

Answers

Given :

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .

In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.

To Find :

How much will it cost to carpet the bedroom.

Solution :

Length of bedroom , l = 5.5 × 3 = 16.5 ft.

Width of bedroom , w = 3.25 × 3 = 9.75 ft.

SO, area of bed room is :

[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]

Now, cost to carpet the bedroom is :

[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]

Hence, this is the required solution.

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

Answers

Answer:

B. 16°

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

Which of the following expressions is equivalent to 2x + y − 4y + 8?
a) 2x − 3y + 8
b) 3x − 4y + 8
C) 2x + 3y + 8
D) 2x − 4y + 8

Answers

Answer:

a) 2x - 3y + 8

Step-by-step explanation:

Problem: 2x + y - 4y + 8

Solve: y - 4y

Put it back into the expression: 2x - 3y + 8

I agree. If y is one for example 1-4 is -3

Describe and correct the error in finding the value of the power.

8 to 3power= 8x3 = 24

The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.

The answer should be 8 to 3 power =____=____.

Answers

Answer:

regular number; base

Step-by-step explanation:

Answer:

1. Multiplication

2. 8

3. 8^3=512

7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.​

Answers

Answer:

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

Need help with these

Answers

Answer:

a. 0.07

b. 0.17

c. 0.333

d. 0.417

There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?

Answers

Answer:

8.71428571

do 61 divided by 7. Simple math.

Answer:

8.714

Step-by-step explanation:

Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.

From here you can round.

I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.

Hope this helps!

Please answer this!
Who invented maths?

Answers

Answer:

ancient greek invented math

What is 200 ÷ 6.24 How do you work this out

Answers

Answer = 200/6.24
= 32.051
Approximately = 32.1

please help meeeee asappp​

Answers

1. 81

2. 2 4/25

3. 2⁵×3

4. 2,040

I need Help Asap Please Please

Answers

Answer:

C

Step-by-step explanation:

1) What is the absolute value of 50?

Answers

the absolute value of 50 is 50

Answer:

50

I hope this helps!

Identify the intersection of line l line m

Answers

The answer is (1 , 3)

Write equation of the line that passes through (4, 2) and (7,20)

Answers

-3 passes through 4,2
7,20 pass through is 49

If there is 22400 rupee expense of 14 men for 8 days then how many expense of 7 men for 13 days? please explain thanks

Answers

Answer:

The expense of 7 men for 13 days is 18,200 Rs.

Step-by-step explanation:

The expense of 14 men for 8 days = 22400

The expense of 14 men per day = 22400/8 = 2800

The expense of 1 man per day = 2800/14 = 200

The expense of 7 men per day = 200*7 = 1400

The expense of 7 men for 13 days = 1400*13 = 18200

Hope that helps :)

HELPP PLEASEEEE THANK YOUUU MU FRIEND!

Answers

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.​

Answers

Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

which is the correct answer?

Answers

Answer:

105°

Step-by-step explanation:

The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°

Evaluate 27 x 1/3 to the third power.

Answers

Answer:

If i'm not mistaken its 1

Step-by-step explanation:

Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).

Answers

Answer:

  (x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

y = -2x -92x +3y = -3

Use the first equation to substitute for y in the second:

  2x +3(-2x -9) = -3

  2x -6x -27 = -3

  -4x = 24 . . . . . . . . . add 27, simplify

  x = -6 . . . . . . . . . . . divide by -4

  y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

7.83mm= km (using the metric staircase)

Answers

Answer:

7.83 mm to km

7.83* 10^-6 or 7.83/10^6

0.00000783 km

The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?

Answers

Answer:

12

Step-by-step explanation:

Find Cos N 73 48 E 55

Answers

Answer:

1. cos73 is 0.29

2. cos48 is 0.67

3. cos55 is 0.57

These are the answers for cos. Hope this helps!

In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)​

Answers

Answer:

I'm fairly certain the answer is A, The first one

explanation:

Ray OB is between rays OA and OC

Which is equivalent to 2x(+7)18x+4/5

Answers

Answer:

-16x +[tex]14 4/5

Step-by-step explanation:

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