So 1 and 1/2 divided by 1/8. That’s the same as 3/2 divided by 1/8.
Keep change flip.
3/2 x 8/1
24/2= 12
Solve for the bracelet first.
x represents number of beads for bracelet
So it would be number of beads for the bracelet + number of beads for necklace (5x) and they both equal 192
x + 5x = 192
Then you would add the x and 5x.<br />6x = 192
Now all you have to do is divide by 6 on both sides.
6× ÷ 6 = 192 ÷ 6
You know have the number of beads it takes for a bracelet.
x = 32
to get the necklace all you need to do is multiply it by 5 because you need 5 times more for the necklace.
32 × 5
total beads needed is 160.
160
x+5x=192
6×=192
6x÷6=192÷6
x=32
necklace needs 32x5
beads per necklace is 160
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
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