Question

Simplify: (sin Θ - cos Θ)^2 + (sin Θ + cos Θ)^2

Answer 1

well use binomial expansion

Answer 2

okay, so let me do that really quickly!

Answer 3

okay

Answer 4

okay i got

Answer 5

(sin^2 T - 2(sin T)(cos T) + cos^2 T) + (sin^2 T + 2(sin T)(cos T) + cos^2 T)

Answer 6

Good! now take out the parenthesis and see what can you do with like terms

Answer 7

okay! hold on lol

Answer 8

i will be back to check your work

Answer 9

okay, i got 2sin^2 T + 2cos^2 T

Answer 10

factor 2 what you get?

Answer 11

2 (sin^2 T + cos^2 T)

Answer 12

So?

Answer 13

what do you see now?

Answer 14

umm, i'm not too sure, can the inside parentheses be reduced to 1?

Answer 15

yes! it is 1, Pythagorean identity

Answer 16

So you get 2
that's the final answer, great job!

Answer 17

THANK YOU SO MUCH!!! :) do you mind helping me on another? or should i post it as a new question??

Answer 18

yw! actually im going to sleep sorry^_^

Answer 19

no problem, night!