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

If you can buy 4⁄5 of a pound of ham for 3 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.
Which fraction is equivalent to 72%? A. 7/200 B. 18/25 C. 9/25 D. 7 1/5
What did the Hawaiian islands form over?
Explain the purpose of a key on a map
Why don’t the present shapes of the continents fit perfectly into a supercontinent?
What is the definition of tropical storm?
Moneys taken out of a salary for such things as taxes, medical insurance, and retirement funds are called A. contributions. B. exemptions. C. commissions. D. d
A relationship can be damaged by a. people spending time with one another. b. not meeting expectations. c. trust. d. honest communication.
What is 0.65 in expanded form
Which one of the following choices is the closest in size to one serving of meat? A. A deck of cards B. A baseball C. A coffee mug D. An open palm