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:
y = x + 2
Step-by-step explanation:
As the equation of a line is in the form y = mx + c:
Step 1 - Calculate the y intercept
This can be done by looking at the y coordinate where x = 0:
y = mx + c
In the picture, the y intercept is 2 so:
y = mx + 2
Step 2 - Calculate the slope
This can be calculated by:

Get two sets of coordinates:
(0, 2) and (2, 4)
Calculate the changes by subtracting from one another:

So the gradient is 1, meaning the equation of the line is:

Hope this helps!
Answer:
z^2/z=z
Step-by-step explanation: