bhar4481 bhar4481
  • 24-04-2017
  • Mathematics
contestada

2sinxcosx=sinx in the interval of [0,2pi]

Respuesta :

Аноним Аноним
  • 24-04-2017
Use the double angle function sin2x = 2sinxcosx.

2sinxcosx + sinx = 0

For the first part of the problem, consider the solutions on the interval where sinx = 0

x = 0, pi

Now consider the solutions where sinx does NOT equal zero.

2sinxcosx + sinx = 0

2sinxcosx = - sinx

2cosx = - 1

cosx = - 1/2

x = 2pi/3, 4pi/3
Answer Link

Otras preguntas

The main producers in aquatic environments are _______. a. phytoplankton b. zooplankton c. kelp d. fish
What is tge total surface area of a solid sphere of diameter 14cm
Solve for m Give an exact Answer 4(1+0.5) = 7m
what is the rounding off of 123.5201 ,424.9832 ,675.0608 ,1247.0057 & 5653.5974
In the following diagram for preparation of hydrogen gas as shown in the figure,what would happen if the following changes are made?(a) In place of zinc granul
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation
Which type of pronoun is bolded in the following sentence? The truck, which sometimes stalls, belongs to our neighbor. demonstrative indefinite interrogative re
In a right triangle, one of the acute angles measures 74°. What is the measure of the other acute angle?
Which compound has the lowest pka? (ch3ch2o2c)2ch2 ch3ch2o2cch2cho ch3ch2coch2cho phcoch2coch3 (nc)2ch2?
how old was Elvis when he died?