Question

Trig help..
Simplify: (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2

1

2

sin2 Θ

cos2 Θ

Answer 1

Where it says "2" they are raised to the power

Answer 2

\[ (\sin Θ − \cos Θ)^2 + (\sin Θ + \cos Θ)^2\]\[ \sin^2 Θ −2\sinΘ\cosΘ+ \cos^2 Θ+ (\sin Θ + \cos Θ)^2\]\[ \sin^2 Θ + \cos^2 Θ−2\sinΘ\cosΘ+ (\sin Θ + \cos Θ)^2 \]\[1−2\sinΘ\cosΘ+ (\sin Θ + \cos Θ)^2 \]\[1−2\sinΘ\cosΘ+ \sin ^2Θ +2\sinΘ\cosΘ+ \cos ^2Θ\]\[1−2\sinΘ\cosΘ+2\sinΘ\cosΘ+ \sin ^2Θ + \cos ^2Θ\]\[1−2\sinΘ\cosΘ+2\sinΘ\cosΘ+ 1\]\[2\]

Answer 3

hope this helps.

Answer 4

short and clear.

Answer 5

You are a life saver.

Answer 6

perhaps... tnx