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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Each box would have exactly 8.5 kilograms each in them. Hope this helps mate =)
I hope this helps you
1/21+1/28=1/t
4/84+3/84=1/t
5/84=1/t
t=84/5
84/5 1
21 ?
?.84/5=1.21
?=5/4
Answer: 24 millimeters
the length of the other leg is x (x > 0)(millimeters)
using Pythagoras theorem with the right triangle, we have:
x² + 10² = 26²
⇔ x² = 26² - 10² = 576
=> x = 24 (mm)
Step-by-step explanation:
Answer:
88000
Step-by-step explanation:
88 multiple by 1000