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
Evgen [1.6K]
3 years ago
6

Solve sin4x cosx-sinx cos4x = sqrt(2)/2 for [0, 2pi)

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12

Step-by-step explanation:

sin(4x) cos x − sin x cos(4x) = √2 / 2

Use angle difference formula.

sin(4x − x) = √2 / 2

sin(3x) = √2 / 2

3x = π/4 + 2kπ, 3π/4 + 2kπ

x = π/12 + 2kπ/3, π/4 + 2kπ/3

x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12

You might be interested in
Length=x^2 -8; W= -x+12 <br><br><br> PLEASE HELP!
ASHA 777 [7]
L×W
x^2+8x+12
am not sure
4 0
3 years ago
34.15 round to the nearest hundred
I am Lyosha [343]
It’s zero, I think. Because
3 doesn’t round up. It’s stays the same. But since there is nothing in the hundred place. It is 0.
4 0
3 years ago
Prove that the sum of all natural numbers is -1/12.
ankoles [38]
This is not true. The infinite series


\displaystyle\sum_{n=1}^\infty n

converges if and only if the sequence of its partial sums converges. The k-th partial sum is

\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2

but clearly this diverges as k gets arbitrarily large.
5 0
3 years ago
Graph: y = 3x - 5<br> Plz help
nexus9112 [7]

Answer:

The equation, y=3x-5 is in y=mx+b format. The b, or -5 in this case, tells you what the y intercept is, or in this case, your starting point. This means your first point will be at (0,-5). The mx, or 3x in this case, tell us how much to move     up and how much to move sideways. 3x is equal to 3/1x and the 3/1 tells us the rise/run. Rise being how much to go up or down and run being how much to go to the left or right. So in 3x, the rise is 3 and the run is 1. So you will go 3 up on the y axis and 1 to the right on the x-axis. So your next point will be (1, -2) and the point after that will be (2, 1) and so on!

hope this helped!

5 0
3 years ago
Read 2 more answers
Please help me with this question
lara31 [8.8K]

Answer:

ghghjhjghjghghjghghj

Step-by-step explanation:

jghjghjghjghj

5 0
3 years ago
Other questions:
  • Patricia took out a loan for for an expensive sports car. The total interest for the 37 month loan was $23,091. Find the interes
    12·1 answer
  • Write the fraction as a percent: 11/50. (Simplify your Answer.)
    11·1 answer
  • -2 and 1/3 times 1 and 1/2=
    14·1 answer
  • I dont under stand what 5/8 - 2/4
    13·1 answer
  • Daniel has 2 cookies, Maya has 2 Cookies. If Daniel and Maya put their cookies together how many will the have in all. Please he
    14·2 answers
  • Leia cuts congruent triangular patches with an area of 15 square centimeters from a rectangular piece of fabric that is 15 centi
    14·1 answer
  • Last question pls help me
    6·1 answer
  • What is 3 1/3 as a percentage and a decimal? Thank you!!
    13·1 answer
  • A whole circle is 100 of a circle what percent of a circle is 1/7 of a circle
    11·1 answer
  • Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amou
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!