haamcsaai
haamcsaai haamcsaai
  • 04-04-2019
  • Mathematics
contestada

Prove this identity using the product-to-sum identity for sine:
[tex]sin^2x=\frac{1-cos(2x)}{2}[/tex]
umm pls

Respuesta :

LammettHash
LammettHash LammettHash
  • 04-04-2019

It follows from

[tex]\cos2x=\cos(x+x)=\cos x\cos x-\sin x\sin x=\cos^2x-\sin^2x=1-2\sin^2x[/tex]

[tex]\implies\cos 2x-1=-2\sin^2x[/tex]

[tex]\implies\sin^2x=\dfrac{1-\cos2x}2[/tex]

Answer Link

Otras preguntas

Write a system of equations with a solution (4,–3)
Can somoene help me with this question??How might the history of the U.S. have been different if the original thirteen states had been guaranteed a perpetual ma
Explain how a species can evolve through natural selection.
which factor made the most difference in how agriculture affected the economies of the colonies?
If a slope of a line is 2/0 is it 0 or undefined?
Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5.6 meters,and a height of 7.2 meters is about 334 cubic met
Determine whether the sequence coverage or diverges. If it converges, give the limit. 48, 8, 4/3, 2/9, ...
After what happened on April 19 can war between the colonies and Great Britain be avoided?
Write a system of equations with a solution (4,–3)
Jim’s allowance is $1.20 per week. Stan’s is 25¢ per day. How long will they have to save, if they save both their allowances together, before they can get a m