Question

**medal and fan
Simplify: (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2

Answer 1

answer choices
A) 1
B) 2
C)sin^2Θ
D)cos^2

Answer 2

let sin theta = x
cos theta = y
so you have \[\huge\rm (x-y)^2 +(x +y)^2\]

Answer 3

(x-y)^2 is same as (x-y)(x-y) apply foil method

Answer 4

so it cancels out ?

Answer 5

no there is a plus sign

Answer 6

im not really familiar with the foil method

Answer 7

do I just multiply (x-y)(x-y) ??

Answer 8

ohh okay
multiply first and 2nd term of first parentheses by 2nd parentheses