answersLogoWhite

0

If you mean:

sin2(x) cos2(x)

then it can be simplified by noting that the square of the sine of x is equal to (1 - cos(2x)) ÷ 2 and the square of the cosine of x is equal to (1 + cos(2x)) ÷ 2. We can then simplify further:

sin(x)2cos(x)2

= [(1 - cos(2x)) / 2][(1 + cos(2x)) / 2]

= (1 - cos(2x))(1 + cos(2x)) / 2

= (1 - cos2(2x)) / 2

Also note that 1 - cos2(x) = sin2(x), so we can then say:

= sin2(2x) / 2

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga

Add your answer:

Earn +20 pts
Q: How to simplify sin x2 cos x2?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic