Solve the equation on the interval [0,2pi] sin 4x=(sqrt(3))/(2)

Leila Jennings 2022-07-27 Answered
Solve the equation on the interval [ 0 , 2 π ]
sin 4 x = 3 2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (2)

Lillianna Mendoza
Answered 2022-07-28 Author has 16 answers
sin 4 x = 3 2
let ϕ = 4 x
sin ϕ = 3 2
ϕ = π 3 , 2 π 3
ϕ = 4 x = π 3 , 2 π 3
x = π 12 , π 6

We have step-by-step solutions for your answer!

termegolz6
Answered 2022-07-29 Author has 3 answers
x = π 12 , 11 π 12 , 15 or 165 degree
times 4 = π 3 , 2 π 3 30 or 150 degree
sin ( 30 ) a n d sin ( 150 ) = 3 2
Therefore x = π 12 , 11 π 12

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2021-10-02
Solve the equation.
log4xlog(12+x)=log2
asked 2022-09-21
If a ball is thrown upward at 28.6 meters per second from the top of a building that is 51 meters high, the height of the ball can be modeld by s ( t ) = 51 + 28.6 t 4.9 t 2 meters, where tis the number of seconds after the ball is thrown. What is the ball's maximum height?
asked 2021-05-12
Replace the Cartesian equation with equivalent polar equations.
x2+xy+y2=1
asked 2021-02-13
solve the given system of differential equations.
dx1dt=2x13x2
dx2dt=x12x2
asked 2020-10-18
Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
y=-11
x+2y=7

New questions