Answer:
7
Step-by-step explanation:
the answer is 7
21 is 3 times 7
Answer:
D
Step-by-step explanation:
an = 7 - 3(n - 1)
= 7 -3n - 1 *(-3)
= 7 - 3n + 3 {Combine like terms}
= 7 + 3 - 3n
= 10 - 3n
= -3n + 10
To prove: ![\cot x+\tan x=\sec x\csc x](https://tex.z-dn.net/?f=%5Ccot%20x%2B%5Ctan%20x%3D%5Csec%20x%5Ccsc%20x)
where ![x\neq \dfrac{\pi}{2}(2n-1)](https://tex.z-dn.net/?f=x%5Cneq%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%282n-1%29)
Using trigonometry formula:
![\cot x=\dfrac{\cos x}{\sin x}](https://tex.z-dn.net/?f=%5Ccot%20x%3D%5Cdfrac%7B%5Ccos%20x%7D%7B%5Csin%20x%7D)
![\tan x=\dfrac{\sin x}{\cos x}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D)
![\sec x=\dfrac{1}{\cos x}](https://tex.z-dn.net/?f=%5Csec%20x%3D%5Cdfrac%7B1%7D%7B%5Ccos%20x%7D)
![\csc x=\dfrac{1}{\sin x}](https://tex.z-dn.net/?f=%5Ccsc%20x%3D%5Cdfrac%7B1%7D%7B%5Csin%20x%7D)
Taking Left hand side
![\Rightarrow \dfrac{\cos x}{\sin x}+\dfrac{\sin x}{\cos x}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B%5Ccos%20x%7D%7B%5Csin%20x%7D%2B%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D)
![\Rightarrow \dfrac{\cos^2 x+\sin^2x}{\sin x\cos x}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B%5Ccos%5E2%20x%2B%5Csin%5E2x%7D%7B%5Csin%20x%5Ccos%20x%7D)
![\because \cos^2 x+\sin^2x=1](https://tex.z-dn.net/?f=%5Cbecause%20%5Ccos%5E2%20x%2B%5Csin%5E2x%3D1)
Hence proved
Answer:
○ ![\displaystyle The\:graph\:of\:g(x)\:is\:the\:graph\:of\:f(x)\:expanded\:vertically\:by\:a\:factor\:of\:5, and\:translated\:6\:unit(s)\:up.](https://tex.z-dn.net/?f=%5Cdisplaystyle%20The%5C%3Agraph%5C%3Aof%5C%3Ag%28x%29%5C%3Ais%5C%3Athe%5C%3Agraph%5C%3Aof%5C%3Af%28x%29%5C%3Aexpanded%5C%3Avertically%5C%3Aby%5C%3Aa%5C%3Afactor%5C%3Aof%5C%3A5%2C%20and%5C%3Atranslated%5C%3A6%5C%3Aunit%28s%29%5C%3Aup.)
Explanation:
<em>See</em><em> </em><em>above</em><em> </em><em>graphs</em>
I am joyous to assist you anytime.
Answer:
2
Step-by-step explanation:
y=mx+b, where m=the slope. 2=m, so 2 is the slope.