Rewrite each of the following expressions in a simpler form. Homework Help ✎
cos2(θ – π) + sin2(θ – π)
cos2(2w) – sin2(2w)
Review your work from problem 12-73 or the formulas in the Math Notes box in Lesson 12.2.3.
cos²(θ) + sin²(θ) = 1.
The variable here is different, but will this change the identity? If you aren't sure, let U = θ − π
cos²(x) − sin²(x) = cos(2x).
Try writing sin(θ) as opposite over hypotenuse and cos(θ) as adjacent over hypotenuse.
Simplify the complex fraction. Is the new ratio equivalent to another trig ratio?