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
Misha Larkins [42]
3 years ago
11

Use a double angle identity to rewrite the formula r(Θ)=

9" id="TexFormula1" title="1/16v^2sin(theta)cos(theta)" alt="1/16v^2sin(theta)cos(theta)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

You might be interested in
Express the number 68,708 in word form and expanded form.<br><br> Word form ?<br> Expanded form ?
Alenkinab [10]
Sixty eight thousand seven hundred and eight in word form

60000+8000+700+8 in expanded form
8 0
2 years ago
Which expressions are equivalent to 2^−4·2^2?
Ede4ka [16]

Answer: the answer is 6)

Step-by-step explanation:

Because 2x^{-4} . 2x^{2} = 2x^{-4+2} = 2x^{-2}

I hope it right

5 0
3 years ago
The product of two integers is 96. One of them is-12, find the other numbers​
miss Akunina [59]

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

4 0
2 years ago
Read 2 more answers
Solve the equation. <br> 4 (6 – x) + 4 = 2 (3x + 1) - 6
PtichkaEL [24]

Answer:

x = 2.4

Step-by-step explanation:

Simplify.

24 - 4x + 4 = 6x + 2 - 6

Combine like terms (24 + 4 = 28, sorry for the confusion!)

28 - 4x = 6x - 4

Add x and add 4 to both sides.

10x = 32

x = 3.2

4 0
2 years ago
Read 2 more answers
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains th
yaroslaw [1]
<span>At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • (y^4 – y^3 + 2y^2 + y – 1) ÷ (y^3 + 1)<br> DO NOT INCLUDE PARENTHESES IN YOUR ANSWER
    15·1 answer
  • the mass of a textbook is approximately 0.00165 metric ton . how is this number written in scientific notation
    6·1 answer
  • How do i solve inequalities and graph it’s solution
    10·1 answer
  • Mathilda adds up all the natural numbers from 1 to 10 and obtains a sum of S. Then she adds up 3 odd numbers between 1 and 10 an
    15·2 answers
  • 150% of $22 (math test)
    5·1 answer
  • The range of the function y=3(x-5)^6+7 is y &gt; n
    5·1 answer
  • Please help me!! Thank you
    5·1 answer
  • 3. Consider the equations 8 + x = n.
    5·1 answer
  • A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost
    12·1 answer
  • A normal score is the expected​ z-score of a data​ value, assuming the distribution of the random variable is normal. Is this st
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!