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Dominik [7]
3 years ago
7

tan13pi/4 A. Use the fact that there are 2pi radians in each circle to find another angle, smaller than 2 pi, that is equivalent

to 13pi/4. B. Find the tangent of the angle you found in part A. This is also 13pi/4.
Mathematics
2 answers:
V125BC [204]3 years ago
7 0

Answer:

1

Step-by-step explanation:

Tan 13π/4 = tan(3π + 1/4π)

According to the trigonometry identity;

tan(A+B) = tanA + tanB/1-tanAtanB

If A = 3π and B = π/4

tan(3π + 1/4π) = tan 3π + tanπ/4/1-tan3πtanπ/4

If πrad = 180°

tan(3π + 1/4π) = tan 540° + tan45°/1-tan540°tan45°

tan(3π + 1/4π) = 0+1/1-0(1)

tan(3π + 1/4π) = 1/1-0

tan(3π + 1/4π) = 1/1

tan(3π + 1/4π) = 1

tan 13π/4 = 1

DanielleElmas [232]3 years ago
5 0
Hello : 
13π/4  = (16-3)π/4
            = 16π/4 -3π/4
  13π/4  = -3π/4 +4π   
 tan( 13π/4) = tan ( -3π/4)= -  tan ( 3π/4)  =- tan( π - π/4) = - tan(- π/4)
tan( 13π/4) = -(-tan(π/4)) =tan(π/4)=1

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Multiple and convert to simplest form​
Lady bird [3.3K]

Answer:

1)4

2)28

3)18.3

4)38.5

5)22.5

6)19.25

7)25.5

8)69.666

9)6.5

10)22.666

Step-by-step explanation:

  • To do this first you should convert the mix numbers into inproper fractions and then solve.

1)8/5*5/2=4

2)21/5*20/3=7*4

                  =28

3)33/4*20/9=11*5/3

                   =55/3

                   =18.33...

                   =18.3

4)35/6*33/5=7*11/2

                   =77/2

                   =38.5

5)22/8*90/11=45/2

                    =22.5

6)11/3*21/4=11*7/4

                 =77/4

                 =19.25

7)34/5*15/4=34*3/4

                  =25.5

8)22/3*57/6=11*19/3

                   =209/3

                   =69.666

9)39/8*4/3=13/2

                 =6.5

10)17/2*8/3=17*4/3

                 =68/3

                 =22.666

<em>Hope you got this</em>

<em>If you have any doubt please ask me</em>

<em>If you need this in fraction form just check the attachment</em>

5 0
3 years ago
The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

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Answer: The multiplicative inverse is 1/2 the addition inverse is -2

Step-by-step explanation:

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