103k views
2 votes
Please help me idk how to solve it.

Simplify: (sin Θ − cos Θ)2 − (sin Θ + cos Θ)2

−4sin(Θ)cos(Θ)
2
sin2 Θ
cos2 Θ

User Rkosegi
by
6.4k points

1 Answer

5 votes

(sinФ-cosФ)^2-(sinФ+cosФ)^2

sin^2Ф+cos^2Ф-2sinФcosФ-(sin^2Ф+cos^2Ф+2sinФcosФ)
1-2sinФcosФ-1-2sinФcosФ
we know sin^2Ф+cos^2Ф=1

-4sinФcosФ
answer is A
User Shab
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.