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

please help on this one?
Find the exact circumference of a circle with the given radius. x/2 miles C = ¼x miles x miles 2x miles
What is the slope-intercept form of the function that contains the points (6, 2) and (4, 8)?
Describe voluntary exchanges
in carbon dioxide gas, the carbon atom forms two double bonds. what will the geometry of the bonds be
Why did the mayflower pilgrims land
Besides meter, which is another sound effect in these lines?
please help on this one?
How long should you wait before exercising after you eat? O A. 60-90 minutes O B. 30 minutes O C 45 minutes O D 15 minutes
the price c of a used car plus 8% sales tax​