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damaskus [11]
3 years ago
5

Evaluate cos^2 (n/12)

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

[(2 + √3)/4] = 0.9330127

Step-by-step explanation:

We know that

cos (pi/12) ^ 2 =

cos (pi/12)* cos (pi/12)  =

[(√6 + √2)/4]*[(√6 + √2)/4] =

(0.9659)*(0.9659) = 0.9330127

[(2 + √3)/4] = 0.9330127

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
lilavasa [31]

Answer:

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

Step-by-step explanation:

Let,  D=\frac{d}{dx}

Now, us simplify the given differential equation and write it in terms of D,

36y''-48y'-48y=0

or, 3y''-4y'-4y=0

or, (3D^2-4D-4)y=0

We have our auxiliary equation:

3D^2-4D-4=0

or, (3D+2)(D-2)=0

or, D=2, - \frac{2}{3}

Therefore our solution is,

y=Ae^{2x}+Be^{- \frac{2}{3}x}

and, y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }

Applying the boundary conditions, we get,

A+B=1

2A-\frac{2}{3}B=0

Solving them gives us,

A=\frac{1}{4} ,B=\frac{3}{4}

Hence,

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

4 0
3 years ago
Find X in both problems using the pythagorean theorem
malfutka [58]

Answer:

first X=8.94

second X=34

Step-by-step explanation:

5) x^2=4^2+8^2

  x^2=16+64=80

  x=8.94

6)x^2= 31^2+14^2

  x^2=961+196

  x^2=1157

 x=34

5 0
3 years ago
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vfiekz [6]
You can't exactly get the trigonometric functions using a point unless it's a vector,

so tanx = -8/-6 = 4/3 and from it we can get the other functions

sinx = -4/5
cosx = -3/5
secx = -5/3
cscx = -5/4
cotx = 3/4
3 0
2 years ago
Explain how to model the problem with algebra tiles and
gregori [183]

Answer:someone answer the question already

Step-by-step explanation:

4 0
3 years ago
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
4vir4ik [10]

Answer:

There is no question.

Step-by-step explanation:

3 0
3 years ago
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