Posted by lina on Tuesday, April 3, 2012 at 1:34pm.
Rewrite the expression so that it involves the sum or difference of only constants and sines and cosine to the 1st power
(sinx)^4

precalculus  Steve, Tuesday, April 3, 2012 at 3:32pm
sin^4
(1cos^2)^2
(1cos)^2(1+cos)^2
(1cos)(1cos)(1+cos)(1+cos)
sin^2(x) = (1cos(2x))/2
so,
sin^4(x) = (1  cos(2x))^2/4
= (1  2cos(2x) + cos^2(2x))/4
= (1  2cos(2x) + (1  cos(4x))/2)/4
= (1  2cos(2x) + 1/2  cos(4x)/2)/4
= (2  4cos(2x) + 1  cos(4x))/8
= (3  4cos(2x)  cos(4x))/8
don't know which way you wanted to go there.
Answer This Question
Related Questions
 precalculus  Rewrite the expression so that it involves the sum or difference ...
 math  how do you rewrite the expression to the 1st power of cosine by using ...
 calculus  rewrite the expression in terms of the first power of the cosine. sin...
 precalculus  Rewrite the following expression as an algebraic function of x ...
 Math  Rewrite the expression in terms of the first power of cosine sin^4(x)
 PreCalculus  How do you verify: 1.) sinxcosx+sinx^3secx=tanx 2.) (secx+tanx)/(...
 Trigonometry  rewrite the expression in terms of the first power of cosine. cos...
 Math  rewrite the expression in terms of the first power of cosine. cos^3(x)sin...
 Precalc  prove the identity: (cosx)(tanx + sinx cotx)=sinx+cos(squared)x i ...
 Mathmatics  a. Use the formulas for lowering powers to rewrite the expression ...
More Related Questions