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
sertanlavr [38]
3 years ago
15

(10.02)

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}

Therefore:

sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}

cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}

Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}

You might be interested in
Due tomorrow <br> 3 questions
jasenka [17]

Answer:

7.

green blocks represent n

and normale digits (plus green) are orange

Anne: 1 orange block and increasing 2 green blocks from 2 sides

Sanjay: one line of green and orange line plus 1

Robert: 2 times the amount of green blocks on both lines with 1 orange block on right path

9.

a.y = 6x

b.y = 2^x

c.y = x+10

10.

a. 2 green blocks and 2 orange blocks

c. 3 green blocks and 1 orangle blocks

b. 4 green blocks

d.2 green blocks and 1 orange block

Step-by-step explanation:

for 10, it doesn't really matter

8 0
3 years ago
Which one of the following are rational numbers?<br> 8<br> 0<br> 10/3<br> 7
Marina86 [1]

Answer:

eight and zero...

Step-by-step explanation:

hope I help

4 0
3 years ago
What is 9-h divided by 1/8; h = 1/3
Anton [14]

Answer:

160/3

9-<u>1</u>

<u> </u><u> </u><u> </u><u>3</u>=21-1/3*8=160/3

1/8

8 0
3 years ago
Factor 3x+6 using algebraic tiles
Kruka [31]
Answer: 3(x+2)

Let me know when you need help
I'll help get your answer!
6 0
3 years ago
HEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPP
zheka24 [161]
It is the third bubble
Hope i helped!
7 0
3 years ago
Read 2 more answers
Other questions:
  • How do I find the area of the isosceles triangle?
    10·1 answer
  • What is 4 1/2 minus 3 5/6
    8·2 answers
  • Only the correct answer please
    6·2 answers
  • The number of animals in a population is 775, and it increases by of 51% each year.
    8·1 answer
  • Describe the process of factoring using the 'x' method or the 'box' method
    8·1 answer
  • A. Find the exact arc<br> length of ĀB.
    6·1 answer
  • Please someone help me I need help with this right now
    15·1 answer
  • Which quadrant would contain the point showing a city 3 m below sea level and 6°C below zero?
    8·1 answer
  • What is the simplified form of 6\x times 6/ x times
    7·1 answer
  • Hurry quick i have more questions answer then all for a total of about 100 points
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!