Answer:
see below
Step-by-step explanation:
A can speak french
There are 10 students who can speak french, 4 girls and 6 boys
P(french) = speak french/ total
= 10/30
= 1/3
B is a boy
There are 16 boys
P (boy) = boys/total
= 16/30
8/15
C girl who can speak french
There are 4 girls who can speak french
P (girl who can speak french) = girl who can speak french/ total
=4/30
2/15
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:
A
Step-by-step explanation:
A. x = 25
X = 3
y = -3
You will see this using any graphing tool at your disposal.
Answer:
26
Step-by-step explanation:
Use the Pythagorean Theorem: 