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
fenix001 [56]
3 years ago
5

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

You might be interested in
Factorise the following expressions.<br> a) 6x + 5x + 1<br> b) 6x2 13x + 6
fredd [130]

Answer:

a) 1 1 + 1

b)1 3 + 1 8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which series of transformations will not map figure H onto itself?
chubhunter [2.5K]

Answer:

(x + 0, y − 2), reflection over y = 1

Step-by-step explanation:

H will be shifted down 2 units and then reflected over y = 1, which maps H into itself

3 0
3 years ago
2x + 5y - 28<br> -2x - 5y = -18<br><br> Elimination
lidiya [134]

Answer:

no solution I believe

Step-by-step explanation:

b/c x and y cancel out so it cant be solved

6 0
3 years ago
Express 0.77230.77230, point, 7723 as a fraction
cricket20 [7]

Answer:

7723/10000

Step-by-step explanation:

8 0
2 years ago
Trejon rides his bike 27 miles each day. Which equation can be used to find r, the number of miles he will ride in 8 days? 24 r
Leona [35]

Answer:

yes I know what I mean to you can be the next rikage to get out there nationalityand and get a doberman baby driver and the Mather family and the kids will have a great weekend in my room to get to know that they are very good friends or not to see my father did it for the first round and

3 0
3 years ago
Other questions:
  • How could you increase the mass of a wooden block?
    11·1 answer
  • Solve 5 over x plus 8 equals 3 over x for x and determine if the solution is extraneous or not.
    10·1 answer
  • what transformation occurs(vertically stretched, vertically compressed, reflection, translation, rotation, etc) happens when a f
    5·1 answer
  • Write a linear function whose slope is -4 and y-intercept is -5. Explain what these values mean in the equation
    15·1 answer
  • PLEASE ANSWER THIS AS SOON AS POSSIBLE
    9·1 answer
  • Write 3/10 and 2/5 with a common denominator
    13·1 answer
  • GEOMETRY HELP!
    6·1 answer
  • What is the unit rate of 12 meters in 28 seconds???
    12·1 answer
  • 12 didvided by two thirds
    7·1 answer
  • Rewrite the quadratic function in intercept or factored form<br> y=-40x+2x^2-2x
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!