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
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The given equation is:
ax2 + bx + c = 0
We have the resolvent is:
x = (- b +/- root (b2 - 4ac)) / (2a)
The discriminant is:
b2 - 4ac = 0
The solution will be:
x = (- b) / (2a)
Thus, the equation has a real solution.
Answer:
option B
Answer:
$843.67
Step-by-step explanation:
1% = 7.8848
7.8848 x 7 = 55.1936
788.48 + 55.1936 = 843.6736
Rounded to nearest cent = $843.67
1. 27 - 3 (because 3 are left over) = 24. Then, 24 ÷ 6 = 4 children.
2. If Mina has £7.20, that means she has 720 pence. If half is given to her brother, then she has £3.60 left. (720 ÷ 2 = 360 pence, which is £3.60)
3. 17 × 10 = 170
2 × 20 = 40
170 + 40 = 210, which is £2.10
Answer:
Theory
Step-by-step explanation:
The theory refers to an explanation of something. It should be understandable also it contains some logic behind that
It is a formal, logical for events that involved the descriptions that related the things to one another
Therefore the above represent the theory
Hence, the same is to be considered
