Question

Simplify: (sin θ − cos θ) − (sin θ + cos θ)^2

Multiply choices below:

Answer 1

So you would start off with the exponent, simplifying the second portion to (sin^2 θ + 2sinθcosθ + cos^2 θ)

This can be further simplified with trig identities because sin^2 θ+ cos^2 θ=1

You now have (sinθ - cosθ) - 2sinθcosθ -1 which is Option 4( just in a different order)