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
Svetllana [295]
3 years ago
15

What is the value of sin 0 given that (-3,7) is a point on the terminal side 0

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

\frac{7\sqrt{58}}{58}

Step-by-step explanation:

\\\text{Given that a point on the terminal side of }\theta \text{ is }(-3,7)\\\\\text{so the terminal side is in Quadrant II}\\\\\text{In the right triangle OMN, using Pythagorean theorem, we get}\\\\\text{ON}=\sqrt{(MN)^2+(OM)^2}\\\\\Rightarrow ON=\sqrt{(7)^2+(-3)^2}\\\\\Rightarrow ON=\sqrt{49+9}\\\\\Rightarrow ON=\sqrt{58}\\

\\\text{we know that in Quadrant II, sine and cosecant are positive.}\\\text{so using the trigonometric ratios, we get}\\\\\sin \theta=\frac{\text{Opposite }}{\text{Hypotenus}}\\\\\Rightarrow \sin \theta=\frac{7}{\sqrt{58}}\\\\\Rightarrow \sin \theta=\frac{7\sqrt{58}}{58}\\

You might be interested in
What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)
Pie

Answer:

I thin B -7 cause its negative and negative goes down.

Step-by-step explanation:

3 0
3 years ago
I need help on my homework... plz
Kazeer [188]

Nevermind i see it. one sec

7 0
3 years ago
36=2+(-12.4)<br> please helpssss
Nikolay [14]
I believe the answer is 36= -10.4!
Sorry if I'm wrong though.
8 0
3 years ago
Read 2 more answers
Maki receives money from her relatives every year on her birthday. Last year, she received a total of $650. This year, she recei
BabaBlast [244]

Answer:

Step-by-step explanation:

percent increase = ((new number - original number) / (original  number))  * 100

                             = ((910 - 650) / 650)  * 100

                             = (260 / 650) * 100

                             = 0.4 * 100

                             = 40% <===== Maki's  increase

4 0
3 years ago
cy young pitched in 815 games over 22 years. He won 511 games About how many games did he win per year
romanna [79]

87 games is how many he won per year. :)

3 0
3 years ago
Other questions:
  • Help me pleasseeeee!!! its about algebraic properties of limits!
    13·1 answer
  • In a computer game, when choosing a character there are 5 choices for hair style, 3 choices for eye color, and 7 choices for out
    6·1 answer
  • Alyssa wants to buy a new car and is planning to take out a loan to pay for the car.
    7·1 answer
  • Plz HELP will give extra points
    9·1 answer
  • Find the inverse of the function y=2^3-5x
    8·1 answer
  • Pleeeease help me please
    12·1 answer
  • A jeweler buys a ring from a jewelry maker for $125. He marks up the price by 135% for sale in his store. What will the selling
    15·2 answers
  • ASAP I NEED HELP ON NO. 1
    5·1 answer
  • It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents th
    10·1 answer
  • prepare their flower beds for the Cedar bark mulch 6 inches deep is to be spread on each of the beds The mulch is sold in bags c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!