Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
#SPJ9
Answer:
3/4
Step-by-step explanation:
We can find the slope from the two points given
m = (y2-y1)/(x2-x1)
= (1- -2)/(2 - -2)
= (1+2)/(2+2)
= 3/4
Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012
Answer:
Option A
Step-by-step explanation:
Statistics is basically the analysis of figures and data to give explanatory understanding of these figures and data in form of an information for future research, further analysis and development.
Data is an important tool for development and some are represented in form of figures and the only way to extract some information is using statistics, which is a mathematical tool.
Technological advancement has always been as the end product of information extracted from data in different forms. statistics has various methods to explain data processes and that is why data scientists and statisticians have a good bond in this profession because they share the same idea to give a common goal which is information
