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
kicyunya [14]
2 years ago
7

Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.

Mathematics
1 answer:
anygoal [31]2 years ago
5 0

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072,  0 < Ф < 2 π,   tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

  Calculate hypotenuse

  c² = a² + b²

  c² = 1.072² + 1²

  c² = 2.149

  hypotenuse = c = 1.466

First quadrangle

  sin Ф = 1.072 / 1.466 = 0.731

  cos Ф = 1 / 1.466 = 0.682

Third quadrangle

  sin Ф = -1.072 / 1.466 = -0.731

  cos Ф = -1 / 1.466 = -0.682

You might be interested in
Marcus earns $8.40 per hour. He works for 26 hours each week, 48 weeks each year. If he earns over $10,000, then Marcus has to p
MAVERICK [17]

We have been given that Marcus works for 26 hours each week and 48 weeks each year.

Thus in a year he works for 26 \times 48 = 1248 hours.

Now, we have been given that Marcus earns $8.40 per hour.

Therefore, in 1248 hours, he earns

1248 \times 8.40\\&#10;\\&#10;=\$ 10483.2

Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2  which is higher than $10,000.

Therefore, Marcus has to to pat tax.

6 0
2 years ago
Read 2 more answers
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a
Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = \sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}

                 = {^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}  + .......+ {^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}

                = 0.04541 + ......+0.0000002079

                = 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

4 0
2 years ago
Simplify the expression (x)^3(x^3y)^2
larisa86 [58]

Answer:

A)

Step-by-step explanation:

(a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}

6 0
3 years ago
Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much
Reptile [31]

Answer:

$22.70

Step-by-step explanation:

$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.

hope i helped.

8 0
2 years ago
Read 2 more answers
Please help find the percent of increase?!
Contact [7]

Subtract to find the difference:

2000 - 500 = 1500

Divide the difference by the original population:

1500 / 500 =  3

Multiply that by 100 to get the percentage:

3 x 100 = 300%

7 0
3 years ago
Other questions:
  • 15 = p - 12<br><br> btw i got points a lot
    10·2 answers
  • WORTH 30 POINTS! ANSWER ASAP! ALSO WILL GIVE BRAINLIEST!
    8·1 answer
  • s the data set “types of fruit at the grocery store” qualitative or quantitative? If it is quantitative, is it discrete or conti
    12·2 answers
  • 8+2=16106 what does 5+4 equal?
    11·1 answer
  • In a year the number of people dying from cancer was 5 times the number who died from accidents. If the number of deaths from th
    6·1 answer
  • I don't know the transformation
    14·1 answer
  • Can you please Help!!! READ THE QUESTION CAREFULLY. Extra points and brainiest will be given.
    14·1 answer
  • A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances
    15·1 answer
  • Helpppppppppppppp pleaseee! Geometry
    7·2 answers
  • Value of x in figure shown below<br> a.22<br> b.20<br> c.45<br> d.80
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!