Can someone simplify this for me real quick?
(sinθ-cosθ) - (sinθ + cosθ)^2

it doesn't seem to work in any of my calculators

Question

Can someone simplify this for me real quick?
(sinθ-cosθ) - (sinθ + cosθ)^2

it doesn't seem to work in any of my calculators

justasoftie · Answer

I can't help you with this, but @Vocaloid may be able to.

nuts · Answer

well, why don't you try doing it by hand? expand the second term

bananas · Answer

$$Sin - Cos - Sin^2 - 2SinCos - Cos^2 =$$$$Sin - Cos - 2SinCos - Sin^2 - Cos^2 = Sin - Cos - 2SinCos-(Sin^2+Cos^2)=$$$$Sin-Cos-2SinCos-1$$did I miss anything nuts?

nuts · Answer

i think she typed the question wrong and didn't put in the ^2 in the first expression but i'm not 100% sure

nuts · Answer

2 sin cos  can be written as sin (2 th)

eljaja · Answer

no.... I didn't type anything wrong. Thats how the question looks... im not sure if ^2 is for both expressions but it is for the second one.

nuts · Answer

aight then bananas is correct prolly

bananas · Answer

Then going off what @nuts said,$$Sin−Cos−2SinCos−1=Sin\theta-Cos\theta-Sin2\theta-1$$

bananas · Answer

Throw in all the thetas that I didn't bother typing obviously