1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tia_tia [17]
4 years ago
14

Find the exact values ofcos (3pi/4radians) and sin (3pi/4 Radians)

Mathematics
1 answer:
allsm [11]4 years ago
7 0
\cos\dfrac{3\pi}{4}=\cos\left(\pi-\dfrac{\pi}{4}\right)=-\cos\dfrac{\pi}{4}=-\dfrac{\sqrt2}{2}

\sin\dfrac{3\pi}{4}=\sin\left(\pi-\dfrac{\pi}{4}\right)=\sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{3}

Look at the picture.

\dfrac{\pi}{2} \ \textless \  \dfrac{3\pi}{4} \ \textless \  \pi\\\\therefoere\\\\\cos\dfrac{3\pi}{4} \ \textless \  0\ and\ \sin\dfrac{3\pi}{4} \ \textgreater \  0

You might be interested in
Find each absolute value<br><br>| 4+2i |<br><br>| 5-i |<br><br>| -3i |
galina1969 [7]

How to get answer for number 1: | 4+2i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}

How to get answer for number 2: | 5-i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}

Number 3 how to get answer: | -3i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3

4 0
3 years ago
Read 2 more answers
What is the volume of the composite object below?
castortr0y [4]

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

6 0
3 years ago
Lisa’s dog has 4 squeaky toys. Two thirds of the dogs toys are squeaky. How many dog toys does Lisa’s dog have in all?
lys-0071 [83]

Answer:

6 dog toys.

Step-by-step explanation:

If 2/3 of the total dog toys are squeaky, 4 is two thirds of 6, meaning Lisa has 6 dog toys.

8 0
3 years ago
The length of each side of a cube is x cm. If x is an interference,why can’t the volume of the cube equal 15 cm
slamgirl [31]

we don't know what the value of "X" is, so therefore, we cannot conclude that it is 15 cm.

5 0
3 years ago
Rewrite 5/ 16 + 6/ 20 with a common denominator.
Troyanec [42]
25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.
5 0
3 years ago
Read 2 more answers
Other questions:
  • All i need is K)<br> Please help me i need the answer
    11·2 answers
  • The sum of three consecutive even integers is –78. What are the integers?
    15·1 answer
  • Corey is 12 years older than Donovan. Five years ago the sum of their age was 28. How old are they now?
    12·1 answer
  • Please help me on this geometry question. Is it x axis tangent or y axis tangent?
    14·1 answer
  • Does the point (2
    6·1 answer
  • Please help me I don’t understand
    10·1 answer
  • What is the length of a leg of an isosceles right triangle
    9·1 answer
  • How do I solve this?​
    7·1 answer
  • Helllllllllllllllllpppppppppppppppppp
    13·2 answers
  • Solve the following variation problem.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!