Solve the Equation sin 2x+ sqrt(3)cos 2x=1

acapotivigl 2022-09-12 Answered
Solve the Equation
sin 2 x + 3 cos 2 x = 1
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)

Theodore Dyer
Answered 2022-09-13 Author has 10 answers
sin 2 x + 3 cos 2 x 1 = 0
2 sin x cos x + 3 cos 2 x 3 sin 2 x sin 2 x cos 2 x = 0
2 sin x cos x cos 2 x + 3 cos 2 x cos 2 x 3 sin 2 x cos 2 x sin 2 x cos 2 x cos 2 x cos 2 x = 0
2 t g x + 3 3 t g 2 x t g 2 x 1 = 0
3 t g 2 x + t g 2 x 2 t g x + 1 3
t g 2 x ( 3 + 1 ) 2 t g x + ( 1 3 ) = 0
t g x = 0
t 2 ( 3 + 1 ) 2 t + ( 1 3 ) = 0
D = 4 4 ( 1 + 3 ) ( 1 3 ) = 4 4 ( 1 3 ) = 4 + 8 = 12
D = 12 = 2 3
t 1 = 2 + 2 3 2 ( 3 + 1 ) = 1
t 2 = 2 2 3 2 ( 3 + 1 ) = 2 ( 1 3 ) 2 ( 1 + 3 ) = ( 1 3 ) ( 1 3 ) ( 1 + 3 ) ( 1 3 ) = ( 1 3 ) 2 1 3 =
= 1 2 3 + 3 2 = 4 2 3 2 = 3 2
t g x = 1
x = π 4 + π n
t g x = 3 2
x = a r c t g ( 3 2 ) + π k

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

Bordenauaa
Answered 2022-09-14 Author has 18 answers
sin 2 x + 3 cos 2 x = 1
R = ( 1 ) 2 + ( 3 ) 2 = 4 = 2
1 2 sin 2 x + 3 2 cos 2 x = 1 2
cos π 6 sin 2 x + sin π 6 cos 2 x = 1 2
sin ( π 6 + 2 x ) = 1 2
π 6 + 2 x = ( 1 ) n π 6 + π n
x = ( 1 ) n π 12 + π n 2 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 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 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2022-08-16
Find the slope of the tangent line to the curve y = x 1 x at the point ( 1 2 , 1 ). Find the equation of that tangent line.
asked 2022-07-27
A coffee house has 20 pounds of a coffee that sells for $4 perpound. How many pounds of coffee that sells for $8 a pound shouldbe mixed with 20 pounds of the $ 4 per pound cofee to obtain ablend that will sell for $5 per pound? How much of the $5 per poundcoffee will there be?
asked 2022-09-03
Find four consecutive even integers such that the sum of twice thefirst, five times the second, and four times the third divided bythree times the fourth equals 3.
asked 2022-08-02
David has available 320 yards of fencing ad wishes to enclose a rectangular area. Express the area A of the rectangle as a function of the width W of the rectangle. For what value of W is the area largest? What is the maximum area?
asked 2021-04-20
Solve the following exponential equations.
5x+2=1125