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
iVinArrow [24]
1 year ago
10

The terminal side of Ø is in quadrant II and cos ø = -5/13 What is sin ø?

Mathematics
1 answer:
Sliva [168]1 year ago
7 0

the value of sin ∅ is 12/ 13

<h3>Quadrants and the "cast" Rule:</h3>
  • In the first quadrant, the values for sin, cos, and tan are positive.
  • In the second quadrant, the values for sin are positive only.
  • In the third quadrant, the values for tan are positive only.
  • In the fourth quadrant, the values for cos are positive only.

From the given question,

We have,  cos ∅= 5/13

From the trigonometric identities, we have that

sin^2\alpha  + cos^2\alpha  = 1

Then , let's substitute the value of cos ∅

sin^2\alpha +(\frac{-5}{13} )^2 = 1

Let make sin the subject of formula and find the squares of the fraction

sin²∅ = 1 - \frac{25}{169}

Find the LCM

sin²∅ = \frac{169 - 25}{169}

Find the difference

sin²∅ = \frac{144}{169}

Find the square root

sin∅ = \sqrt{\frac{144}{159} }

sin∅ = \frac{12}{13}

In quadrant II , sin is positive, so we have

sin ∅ = 12/ 13

Thus, the value of sin ∅ is 12/ 13

Learn more about quadrant  here:

brainly.com/question/863849

#SPJ1

You might be interested in
HELP PLS TT^TT 20 POINTS
ki77a [65]

Answer:

Through ASA axiom.

Step-by-step explanation:

It should be by ASA axiom.

The ASA Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

5 0
2 years ago
Bills plant grew at the rate of 1 1/2. How tall would the plant be after 3 weeks
kvv77 [185]

Answer:

9/2 or 4 1/2

Step-by-step explanation:

you do 1 1/2 times 3

3/2 times 3 equals

7 0
3 years ago
Read 2 more answers
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each ty
eduard
Well obviously quarters equal 25 cents.  So you have to divide the 8.85 by 25 first.  That means he could have 35 quarters.  That least the rest as being dimes.  So find the remaining amount of the 8.85.  If you have 35 quarters that's $8.75.  And 8.85 minus 8.75 is 10 cents.  which would be 2 nickels.  That only adds up 37 coins.  So you break down one of the 25.  That would mean 5 more coins could be nickels.  Add 37 and 5 to get 42.   Do it again.  25 cents in nickels would be 5 more coins.  would be 46.  that would be missing 2 coins. But don't forget you're also subtracting from the 35 quarters. Now you would technically have 12 nickels and 33 quarters.  So you can do it one more time.  32 quarters means there is $8 in quarters at this point.

Now add you have 12 nickels, and you made 5 more.  That's 17 nickels.  That equals 85 cents.  So add 17 and 32 to be sure you have 49 coins, which you do. 


So 17 nickels, 32 quarters to equal 49 coins and $8.85

(sorry some of it got mixed up above because I was forgetting to subtract the quarters from the total as I changed them to nickels, so pay attention to the end)
8 0
3 years ago
Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the gra
Kisachek [45]

Answer:

im not 100% sure but to me it looks like it could be 225

7 0
3 years ago
Read 2 more answers
I need to know the perimeter because i can't figure out some of the side lengths.
blsea [12.9K]
The primeter is the outside p=2+2 +3+1+1 so the primiter is 9
3 0
3 years ago
Other questions:
  • A radio telescope has a parabolic surface. If it is 1m deep and 16m wide how far is the focus from the vertex?
    7·1 answer
  • I need help with question 12
    10·2 answers
  • Simplify the expression (t^-2)^6
    10·1 answer
  • Joe walks 12 miles
    15·2 answers
  • Without multiplying, is the product of 45x 10 or 50x10 greater? Explain
    6·2 answers
  • What number goes in the box to make the equation true? Blank = 5/16 x 8/15
    13·2 answers
  • A baby elephant weighs 1400 pounds, which is 7,437 pounds less than her mother. Write an equations to express the weight of the
    15·1 answer
  • A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean wa
    14·1 answer
  • 1. A right triangle is shown.
    5·1 answer
  • Someone tell me how to do this
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!