whatw4095yay whatw4095yay
  • 12-09-2021
  • Mathematics
contestada

Please help :(
Given that sin(2x) +cos(2x)=1+sin(x) and that sin (x) does not equal to 0, show that 2(cosx-sinx)=1​

Respuesta :

lynnkc2000 lynnkc2000
  • 12-09-2021

Answer:

steps below

Step-by-step explanation:

sin(2x) +cos(2x)=1+sin(x)

2sinxcosx + (1 - 2sin²x) = 1 + sinx

(2sinxcosx  - 2sin²x) +1 = 1 + sinx

2sinx(cosx-sinx) + 1 = 1 + sinx  .. minus 1 both side

2sinx(cosx-sinx) = sinx    ... sinx ≠ 0, divide sinx both side

2(cosx-sinx) = 1

Answer Link

Otras preguntas

What determines an atoms ability to undergo chemical reaction
Estimate √53 between two numbers to the tenths place. 1. Identify perfect squares: 72 = 49 and 82 = 64 2. Estimate between two whole numbers: between 7 and 8 3.
Eleanor needs 13 spools of ribbon for her class project. if each spool has 18 yards of ribbon, how many yards of ribbon did Eleanor buy?
How is the glass menagerie relevant today?
Find the slope of the line through the points (-2, 1) and (0, 4)
x f(x) 2 18 3 27 4 36 5 45
Estimate the number of DVDs that will be checked out for every 100 patrons.
in what way has globalization impacted consumers in the U.S economy?
What aspect of johns' artwork influenced future art movements? his planning process his subject matter choices his use of non-traditional art materials his use
In an investigation, the atoms of a certain substance lose energy during a change of state. Before the change, the atoms are far apart and move constantly at hi