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:
7m² - 11m - 2
Step-by-step explanation:
(4m² - m + 2) - (-3m² + 10m + 4)
= (4m² - (-3m²)) + (-m - 10m) + (2 - 4)
= (4m² + 3m²) + (-11m) + (-2)
= 7m² - 11m - 2
- (+) meet (+) = (+)
- (+) meet (-) = (-)
- (-) meet (+) = (-)
- (-) meet (-) = (+)
Answer:
a. sine
Step-by-step explanation:
As it can be seen from the figure, triangle ABC is the right-angled triangle with Angle C is equal to 90 degree.
In a right-angled triangle, there is a formula as following:
<em>+) sine (an acute angle) = (length of its opposite side)/ hypotenuse</em>
In the figure, angle B and length of the hypotenuse are given.
As x is the length of AC and AC is the opposite side to angle B
=> So that we can use sine to find x
The correct answer is C, Nigel read fewer pages than Lucas, because 13 is less than 49
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5