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Try factoring

I factored a cos(x) out but then im stuck

cos(x)( ? + ? ) =0
So what should be in the places of those ?'s once you factor out cos(x)?

cos(x)(cosx+sinx)

Yes. Set both factors equal to 0.
cos(x)=0 ; cos(x)+sin(x)=0

cosx=pie/2 ?

x=3pi/2

We also need to find the values of x where cos(x) and sin(x) have opposite values.

|dw:1357920385873:dw|
As you can see they will be opposite in quadrant 2 and 4.

135 and 315?

Correct.

Now should your answer be in radians or degrees?

um radians?

So 135*pi/180
or
315*pi/180

Don't forget we can go around the circle infinitely many times from those angles.

So 135pi/180+2npi , 315pi/180+2npi

Don't forget the other solutions we wrote above.
Good job. :)

thanks!