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
stiv31 [10]
3 years ago
15

Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = - x in Quadrant III

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that,

Sin(x) = -x, in third quadrant

Let find Cos(x) from

Sin²x + Cos²x = 1

(-x)² + cos²x = 1

x² + cos² = 1

Cos²x = 1 - x²

Cos(x) = ±√(1-x²)

Note that, at third quadrant, only tangent is positive

Then, since cosine is negative at the third quadrant,then,

Cos(x) = -√(1-x²)

So,

We want to find

1. Sin(2x) = 2Sin(x)Cos(x)

Sin(2x) = 2 × -x × -√(1-x²)

- × - = +

Sin(2x) = 2x√(1-x²)

2. Cos(2x)?

Cos(2x) = Cos²x - Sin²x

Cos(2x) = (-√(1-x²)² - (-x)²

Cos(2x) = 1 - x² - x²

Cos(2x) = 1 - 2x²

3. Tan(2x)?

From tan relationship

Tan(2x) = Sin(2x) / Cos(2x)

Then,

Tan(2x) = 2x√(1-x²) / (1 - 2x²)

You might be interested in
There 30 giraffes and 6 penguins at the zoo which satement correctly compares the to quanties
dsp73

Answer:

It's A big man

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the new price of s shirt that is on sale for 50% off and has an original price of $50?
satela [25.4K]
50%=1/2 or 1 half. 50/2=$25
5 0
3 years ago
Find the Range and Domain of the Binary relations
sukhopar [10]

Answer:

A = {3,5,6}

B = {1,3}

<u><em>A x B</em></u> = {(3,1),(3,3),(5,1),(5,3),(6,1),(6,3)}

Domain of A x B = (The x figures in ascending order)

=> {3,5,6}     (Figures repeating more than once must be written only 1 time)

Range of A x B = (The y figures in ascending order)

=> {1,3}

<u><em>B x A </em></u>= {(1,3),(3,3),(1,5),(3,5),(1,6),(3,6)}

Domain of B x A = {1,3}

Range of A x B = {3,5,6}

8 0
3 years ago
The lakeside marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Part D:what information does the i
STALIN [3.7K]

Answer: B.The cost of rental fee only

Step-by-step explanation:

The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.

Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.

7 0
2 years ago
K(2, 7), L(6, 12), M(13, 13), N(9.8) (Slope Formula) is it a parallelogram?
vredina [299]

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

  • A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
  • A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Learn more about parallelogram

brainly.com/question/19187448

#SPJ9

8 0
1 year ago
Other questions:
  • The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is 1 meter deep at the shallow end and 8 m
    14·2 answers
  • You are doing a mark-recapture experiment to determine the population size of the MendAliens living on an island in my back yard
    9·1 answer
  • Quadratic fort<br> Solve.<br> -6 + 3x – 9x2 = -16<br> Choose 1 answer:
    8·1 answer
  • How do I solve equation 24=2a + 6
    5·1 answer
  • Multiply.
    8·2 answers
  • Help will mark brainiest
    12·1 answer
  • Evaluate | - 26) if b = 8.
    14·1 answer
  • Amie works 6 hours each Saturday and 4 hours each Monday. She also makes $20 a week as a dog walker. She makes a total of $130 e
    14·2 answers
  • What is the product? 1/2• [12 64 78 30]
    15·1 answer
  • Help!!,!, please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!