Question

Use the power reducing formulas to rewrite each of the expressions in the terms of the first power of the cosine
1. sin^(4)2x
2.sin^(4)xCos^(4)x

Answer 1

http://www.sosmath.com/trig/Trig5/trig5/img8.gif <---- any ideas?

Answer 2

It's iffy..like I know how to but I don't know how to

Answer 3

\(\bf sin^4(2x)\implies [sin(2x)]^4\implies [sin(2x)]^2\cdot [sin(2x)]^2
\\ \quad \\
\implies sin^2(x)\cdot sin^2(x)\)
what do you think?

Answer 4

that's pretty straightforward I'd think

Answer 5

Yea, it kinda is...

Answer 6

Thanks

Answer 7

and you'd do the same with the 2nd one
\(\bf sin^4(2x)cos^4(x)\implies [sin(x)]^4[cos(x)]^4
\\ \quad \\\
[sin(x)]^2[sin(x)]^2[cos(x)]^2[cos(x)]^2
\\ \quad \\
\implies sin^2(x)sin^2(x)cos^2(x)cos^2(x)\)

Answer 8

Thank you so much

Answer 9

yw