Question

Help!

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

Answer 1

sin2Θ

Answer 2

how'd you get that though...

Answer 3

sin^2 -2sin cos + cos^2 -(sin^2 -2sin Cos + cos^2)
sin^2 -2sincos + cos^2 -sin^2 +2sinCos -cos^2

Answer 4

2*sin(Θ)*cos(Θ) = sin(2Θ)

sin(Θ)*cos(Θ) = (1/2)*sin(2Θ)

Answer 5

you don't have to distribute but good to do it for practice
both parentheses are same so let's say
(sin Θ − cos Θ)^2 = x^2
so
\[\huge\rm x^2 -x^2 = ?\]

Answer 6

so the answer would be zero?

Answer 7

yes right

Answer 8

okay, thank you guys!!!

Answer 9

np