From the de Moivre's we have,
<span>
(cosθ+isinθ)^n=cos(nθ)+isin(nθ)
</span><span>
Therefore,
</span><span>
R((cosθ+isinθ)^5)=cos(5θ)I((cosθ+isinθ)^5)=sin(5θ)
</span><span>
Simplifying,
</span><span>
cos^5(θ)−10(sin^2(θ))(cos^3(θ))+5(sin^4(θ))(cosθ)=cos(5θ) </span><span>
</span>
Answer:
7 and 8 because 52 is between 49 and 64
Step-by-step explanation:
Answer:
-13 yards
Step-by-step explanation:
Estimating that we start off on the middle line, we could solve this by simply looking at a number line. Moving 9 yards ahead would put us at 9. But moving back 22 would place us at a negative number. An easy way of doing this is subtracting 9 from 22:
22 - 9 = 13
But, we already know that since the answer is to the left of zero, it will be a negative number. So we flip the sign to get -13 yards.
Step-by-step explanation:
2x+10=86+x
2x-x=86-10
x=76
I hope you understood :)
25 anything raised to zero equals one