The trigonometric equation <span> (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:
</span>Using x for Θ:
<span>(sinx - cosx)^2 - (sinx + cosx)^2 </span>
<span>= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) </span>
<span>= - 2 sinx cosx - 2 sinx cosx </span>
<span>= - 4 sinx cosx </span>
<span>= - 2sin(2x)
</span>
I hope it has come to your help.
Answer:
75 gallons
Step-by-step explanation:
15gal PER 1 min
__gal PER 5 mins
To solve this, I would do 15 x 5. That gets me to 75 gallons.
Hope this helps :D
They affect the signs of p and q in different ways.
Firstly, if c is negative, it means that p and q have opposite signs.
If c is positive, then it means that p and q have the same signs. However, to determine whether they are both positive or both negative, we then have to look to b. If b is negative, both p and q would be negative. If b is positive, then both p and q are positive.
Just Half it down the middle.