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notsponge [240]
2 years ago
11

Prove 2/sqrt3cosx+sinx=sec(pi/6-x)

Mathematics
1 answer:
dlinn [17]2 years ago
5 0

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

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The array has 32 squares.what are the side
Vinil7 [7]

Solution:

Array is arrangement of numbers in terms of rows and columns either by rectangles or squares.

So,if an array has 32 squares

The possible arrangements are

32 = 8× 4 or 4× 8

    = 16×2 or 2×16

   = 1 ×32 or 32 ×1

   Here first entry denotes number of rows and second entry denotes number of columns.

   


4 0
3 years ago
Find the slope A) - 1/3 B) -3 C) 1/3 D) 3
Eddi Din [679]
Answer: Choice C) 1/3

------------------------------------------------

Explanation:

Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get

m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3

which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,

rise/run = 1/3
5 0
3 years ago
Answer both questions for seventeen points and i’ll name you brainliest!! Type the correct answer in each box. Use numerals inst
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Evaluate a2 + b for a = 1\2 and b =-1\2.
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The answer is 1/4 + - 1/2, which equals -1/4 as the answer.
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Answer:

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(2x-5)(2x+5)=0

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4 years ago
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