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
frosja888 [35]
2 years ago
6

Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle Identities.

Mathematics
1 answer:
emmasim [6.3K]2 years ago
6 0

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

You might be interested in
Anyone else have a bully and your bully makes fun of you because your adopted?
NikAS [45]

Answer:

TBH IF YOU WANT TO ROAST I GOT NO IDEA BUT THIS IS THE THING I DO

Step-by-step explanation:

Well to be honest I think you should just treat him the same say the same things you would normallily say when you didnt know he waS

3 0
2 years ago
Read 2 more answers
(√2)^3<br><img src="https://tex.z-dn.net/?f=%20%28%5Csqrt%7B2%29%20%7B%3F%7D%5E%7B3%20%5C%5C%7D%20" id="TexFormula1" title=" (\s
Vedmedyk [2.9K]

\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf

\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}

5 0
2 years ago
Please help, thank you!
geniusboy [140]

Answer:

Es que te ayude amigo medas corona por favor plis

4 0
2 years ago
What's the next step to substitution for this equation -4+y=-4
Marina86 [1]
Subtract the y then add the 4 to the other side so y=0
6 0
3 years ago
The volume of the cone is 25.12 the height is 6 what is the area of the base​
Gnoma [55]

Answer:

153.94

Step-by-step explanation:

AB=πr2=π·72≈153.93804

8 0
2 years ago
Read 2 more answers
Other questions:
  • William the researcher conducted a study on monitor size and reaction time. The research matrix is given below. 17 inch 19 inch
    7·1 answer
  • Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi.
    7·1 answer
  • Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 mil
    12·2 answers
  • What is the volume of the composite figure below?
    13·2 answers
  • I need to complete the equation of the line through (3 -1) and (4 7). I am really stumped on this topic, please explain the proc
    7·1 answer
  • What is the next step in solving the equation 10x+5 = -4x+47 for x after we have combined x variables to one side of the equatio
    14·1 answer
  • A number is chosen at random from 1 to 10. Find the probability of selecting a 9 or smaller.
    11·2 answers
  • Move points A and B to different locations on the coordinate plane to change the length and slope of . (Pick a slope that is not
    13·1 answer
  • Write the equation in slope-intercept form and then graph the equation that passes through (-3, -1) and is parallel to the y-axi
    10·1 answer
  • Find x.<br> 11<br> 13<br> 13'<br> 21'
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!