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notsponge [240]
1 year ago
11

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

Mathematics
1 answer:
dlinn [17]1 year 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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Answer:

3\frac{1}{2}

Step-by-step explanation:

If the ruler is divided into 2 equal parts, divide 7 inches by 2

7/2 = 3.5 or 3\frac{1}{2}

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Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square
astra-53 [7]

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

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8 0
3 years ago
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I need to answers to these because I don't understand. Someone please help!
zloy xaker [14]
A.25
b.15
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3 years ago
Please help me !!!!!!!!!!!!
rjkz [21]

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11.8 feet!

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Initial depth of the scuba diver is 15 feet

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4 0
1 year ago
‼️‼️EXPLAIN & SHWO WORK PLS ILL MARK YOU BRAINLEST THANK YOU ‼️‼️​
Snezhnost [94]

3b and 132 are reciprocal angles to the vertex so they are equal and have the same value ؛

Thus :

3b = 132 ===》 3b ÷ 3 = 132 ÷ 3

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