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
antiseptic1488 [7]
3 years ago
5

Find tan θ if cos θ = 1/4 and sin θ < 0.

Mathematics
1 answer:
inn [45]3 years ago
7 0
Hello : 
cos²(θ) +sin²(<span>θ) = 1
(1/4)² +sin²(</span><span>θ) = 1
</span>sin²(θ) = 1 -1/16
sin²(θ) =15/16
sin(θ) = - √(15/16)=- √15/4    because : <span>sin θ < 0.
</span>tan (θ) =sin (θ)/  cos( θ) =(- √15/4)/(1/4) = - √15
You might be interested in
Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2 , solve for g(f(3)). (5 points)
BARSIC [14]
The answer to the question

3 0
4 years ago
Destiny designs necklaces.
Alex17521 [72]

Answer:

Step-by-step explanation:

Well, the ratio of yellow beads to blue beads is 4:5. The best way I think is to guess and check multiplying the ratio by integers. You need between 15 and 20.

4 : 5 ( = 9 too little )

8 : 10 ( = 18 just right)

12 : 15 ( = 27 too much)

So per necklace, 8 yellow beads and 10 blue beads would be needed. 

I hope this helps :-)

4 0
3 years ago
Please find the value of x
Likurg_2 [28]

Answer:

100 degrees

Step-by-step explanation:

6 0
3 years ago
Analyze the diagram below and answer the question that follows.
Anna35 [415]

Answer:

The right statement is sin(J) = cos(L) ⇒ answer D

Step-by-step explanation:

* Lets describe the figure

- LKJ is a right triangle, where K is a right angle

∵ m∠K = 90°

∵ LJ is opposite to angle K

∴ LJ is the hypotenuse

∵ LJ = 219

∵ KJ = 178

- By using Pythagoras Theorem

∵ (LJ)² = (LK)² + (KJ)²

∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides

∴ (LK)² = (219)² - (178)²

∴ (LK)² = 16277

∴ LK = √16277 = 127.58

* Lets revise how to find the trigonometry function

# sin Ф = opposite/hypotenuse

# cos Ф = adjacent/hypotenuse

# tan Ф = opposite/adjacent

∵ LK is the opposite side to angle J

∵ LJ is the hypotenuse

∵ sin(J) = LK/LJ

∵ LK = 127.58 , LJ = 219

∴ sin(J) = 127.58/219 = 0.583

∵ LK is the adjacent side to angle L

∵ LJ is the hypotenuse

∵ cos(L) = LK/LJ

∵ LK = 127.58 , LJ = 219

∴ cos(L) = 127.58/219 = 0.583

∴ sin(J) = cos(L)

* The right statement is sin(J) = cos(L)

7 0
3 years ago
A recent newspaper article reported on​ American's eating habits. The article reported that only about one third of American adu
Svet_ta [14]

Answer:

a)

Step-by-step explanation:

The article reported that only 26% of american adults ate 3 or more servings of vegetables per day. We don't know if the subjects were asked how many servings per day they consume (in this case the variable would be quantitative since they would answer with a number) or if they were asked if they ate 3 or more servings per day (in this case the variable would be categorical since they would answer with a yes or no)

4 0
3 years ago
Other questions:
  • What is -8 = 7 - 3/2 x ​
    8·2 answers
  • What is the square root of x if x = 25?
    12·2 answers
  • Solve the equation for x.
    8·2 answers
  • Solve 6n + 10 &lt; 4n + 16
    7·2 answers
  • Convert y + 6 = -2(x - 4) to slope- intercept form
    15·2 answers
  • Mikes mom made a batch of soup that was 8 4/5 cups. each cup is 1 1/2 cups. How many servings did Mikes mom make?
    13·2 answers
  • A lake contains V =2 x 105 m3 of water and is fed by a stream discharging Qin = 9 x 104 m3/year with a contaminant concentration
    7·2 answers
  • 20 points hurry ill mark brainliest
    7·1 answer
  • The temperature at 2 am was -12 degrees. At noon the temperature had risen 16 degrees. At 4 pm the temp dropped 8 degrees. What
    15·1 answer
  • Shelley plans to enclose the patio with fencing. If fencing costs $5 per meter, how much will it cost to enclose the patio?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!