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
d1i1m1o1n [39]
2 years ago
10

Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra

nt III.) csc(u − v)
Mathematics
1 answer:
Rashid [163]2 years ago
3 0

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

You might be interested in
Which table shows a function that is decreasing only over the interval (–1, 1)? A 2-column table with 5 rows. The first column i
mixer [17]

Answer:

its A.

Step-by-step explanation:

i just took the test

8 0
3 years ago
Read 2 more answers
Simplify : (18y^16)^3/4​
EastWind [94]

Answer:

1458y48

Step-by-step explanation:

Simplify  (23•36y48)

              -------------------

                     4

Dividing exponents:  2.1    23   divided by   22   = 2(3 - 2) = 21 = 2

Final result :

 1458y48

4 0
2 years ago
26 rooms on 2 floors = ____ rooms on 4 floors
sesenic [268]

Answer:

There would be 104 rooms on 4 floors in total.

Step-by-step explanation:

If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.

7 0
2 years ago
Read 2 more answers
FIRST TO ANSWER GETS BRAINLIEST
iVinArrow [24]

Step-by-step explanation:

3x - y = 74

4y = x

Replace x in the first expression by 4y

3x - y = 74 ➡ 3(4y) - y = 74

12y - y = 74

11y = 74

y = 74/11 we can use this to find x

4y = x

4 × 74/11 = x

296/11 = x

5 0
3 years ago
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
MakcuM [25]

Answer:30,000

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value th
    14·2 answers
  • Heleleppepepepepepepepep pleaee
    10·1 answer
  • Find the y-intercept of the graph of x-3y=9 graphically<br> y-intercept: (0
    12·1 answer
  • What is the sum of 16.87 + (–98.35)? –115.22 –81.48 81.48 115.22
    8·2 answers
  • ecn 221 The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a s
    6·1 answer
  • PLS HELP DO NOT JUST PUT A RANDOM ANSWER PLEASE 15 POINTS!!!
    5·1 answer
  • Which expression is equivaien. to 6 (3x + 4)?
    9·1 answer
  • 5i/x-5i what is the simplest form?
    13·1 answer
  • If i have 37 test left and do 6 a day how many weeks will that take me to be done
    5·1 answer
  • The formula m =1/2(a+b) gives the mean M of two numbers a and b
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!