=0 [/tex]
=0 [/tex]
![\frac{(\sqrt{2}\cos x-1)}{\sqrt{2}}(\frac{1}{\cos x\ }-1)=0](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28%5Csqrt%7B2%7D%5Ccos%20x-1%29%7D%7B%5Csqrt%7B2%7D%7D%28%5Cfrac%7B1%7D%7B%5Ccos%20x%5C%20%7D-1%29%3D0%20)
(Reciprocal Identity)
![(\frac{^{\sqrt{2}\\cos x-1}}{^{\sqrt{2}}})(\frac{1-\cos x}{\cos x})=0](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B%5E%7B%5Csqrt%7B2%7D%5C%5Ccos%20%20x-1%7D%7D%7B%5E%7B%5Csqrt%7B2%7D%7D%7D%29%28%5Cfrac%7B1-%5Ccos%20x%7D%7B%5Ccos%20x%7D%29%3D0%20)
![\frac{^{(\sqrt{2}\cos x-1})}{\sqrt{2}}\frac{(1-\cos x)}{\cos x}=0](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5E%7B%28%5Csqrt%7B2%7D%5Ccos%20x-1%7D%29%7D%7B%5Csqrt%7B2%7D%7D%5Cfrac%7B%281-%5Ccos%20x%29%7D%7B%5Ccos%20x%7D%3D0%20)
(ZeroProduct Property)
![\sqrt{2}\cos x-1=0](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%5Ccos%20x-1%3D0%20)
![\sqrt{2}\cos x=1](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%5Ccos%20x%3D1%20)
![\cos x=\frac{1}{\sqrt{2}}](https://tex.z-dn.net/?f=%20%5Ccos%20x%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%20)
![x=\frac{\Pi }{4}](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B%5CPi%20%7D%7B4%7D%20)
and
![1-\cos x=0](https://tex.z-dn.net/?f=%201-%5Ccos%20x%3D0%20)
![\cos x=1](https://tex.z-dn.net/?f=%20%5Ccos%20x%3D1%20)
![x=0](https://tex.z-dn.net/?f=%20x%3D0%20)
x=0 and x=
are the solutions.
Answer:
x=14
Step-by-step explanation:
there is a picture to help you foe the explanation
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer: x = a*y + 3
Step-by-step explanation:
To make x the subject of the equation, first, we open the bracket
4x - 12/a = y
Then cross multiply:
4x - 12 = a * y ( a*y means the product of the two variables)
Add 12 to both sides of the equation
4x = a*y + 12
Divide both sides by 4 to get the value of x
x = a * y + 12/4
x = a*y + 3
I hope this helps.
Answer:
200
Step-by-step explanation:
20% of a book = 40 pages
100% of a book = x pages
20/100 = 40/x Cross multiply
20x = 100*40 Combine the right
20x = 4000 Divide by 20
20x/20 = 4000/20 Do the division
x = 200 Answer